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4253133040 = 2451329314549
BaseRepresentation
bin1111110110000001…
…1010100011110000
3101222102000112200221
43331200122203300
532202300224130
61542011222424
7210253014532
oct37540324360
911872015627
104253133040
111892867892
129a8447a14
1352a1c0190
142c4c07852
1519d5c787a
hexfd81a8f0

4253133040 has 160 divisors (see below), whose sum is σ = 11374272000. Its totient is φ = 1467002880.

The previous prime is 4253133023. The next prime is 4253133041. The reversal of 4253133040 is 403313524.

4253133040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4253132996 and 4253133014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4253133041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 932686 + ... + 937234.

It is an arithmetic number, because the mean of its divisors is an integer number (71089200).

Almost surely, 24253133040 is an apocalyptic number.

4253133040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687136000).

4253133040 is an abundant number, since it is smaller than the sum of its proper divisors (7121138960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4253133040 is a wasteful number, since it uses less digits than its factorization.

4253133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4635 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 4253133040 is about 65216.0489450258. The cubic root of 4253133040 is about 1620.2038355515.

Adding to 4253133040 its reverse (403313524), we get a palindrome (4656446564).

The spelling of 4253133040 in words is "four billion, two hundred fifty-three million, one hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 31 40 52 58 62 65 80 104 116 124 130 145 155 208 232 248 260 290 310 377 403 464 496 520 580 620 754 806 899 1040 1160 1240 1508 1612 1798 1885 2015 2320 2480 3016 3224 3596 3770 4030 4495 4549 6032 6448 7192 7540 8060 8990 9098 11687 14384 15080 16120 17980 18196 22745 23374 30160 32240 35960 36392 45490 46748 58435 59137 71920 72784 90980 93496 116870 118274 131921 141019 181960 186992 233740 236548 263842 282038 295685 363920 467480 473096 527684 564076 591370 659605 705095 934960 946192 1055368 1128152 1182740 1319210 1410190 1714973 1833247 2110736 2256304 2365480 2638420 2820380 3429946 3666494 4089551 4730960 5276840 5640760 6859892 7332988 8179102 8574865 9166235 10553680 11281520 13719784 14665976 16358204 17149730 18332470 20447755 27439568 29331952 32716408 34299460 36664940 40895510 53164163 65432816 68598920 73329880 81791020 106328326 137197840 146659760 163582040 212656652 265820815 327164080 425313304 531641630 850626608 1063283260 2126566520 4253133040