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4253990784 = 273174431471
BaseRepresentation
bin1111110110001110…
…1011111110000000
3101222110122010022020
43331203223332000
532203010201114
61542041441440
7210263216331
oct37543537600
911873563266
104253990784
1118932a326a
129a87a0280
1352a430714
142c4d8c288
1519d6e6aa9
hexfd8ebf80

4253990784 has 128 divisors (see below), whose sum is σ = 11999508480. Its totient is φ = 1330667520.

The previous prime is 4253990771. The next prime is 4253990803. The reversal of 4253990784 is 4870993524.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2891169 + ... + 2892639.

It is an arithmetic number, because the mean of its divisors is an integer number (93746160).

Almost surely, 24253990784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4253990784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999754240).

4253990784 is an abundant number, since it is smaller than the sum of its proper divisors (7745517696).

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

4253990784 is a wasteful number, since it uses less digits than its factorization.

4253990784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 4253990784 is about 65222.6247861890. The cubic root of 4253990784 is about 1620.3127455944.

The spelling of 4253990784 in words is "four billion, two hundred fifty-three million, nine hundred ninety thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 443 544 816 886 1088 1329 1471 1632 1772 2176 2658 2942 3264 3544 4413 5316 5884 6528 7088 7531 8826 10632 11768 14176 15062 17652 21264 22593 23536 25007 28352 30124 35304 42528 45186 47072 50014 56704 60248 70608 75021 85056 90372 94144 100028 120496 141216 150042 170112 180744 188288 200056 240992 282432 300084 361488 400112 481984 564864 600168 651653 722976 800224 963968 1200336 1303306 1445952 1600448 1954959 2400672 2606612 2891904 3200896 3909918 4801344 5213224 7819836 9602688 10426448 11078101 15639672 20852896 22156202 31279344 33234303 41705792 44312404 62558688 66468606 83411584 88624808 125117376 132937212 177249616 250234752 265874424 354499232 531748848 708998464 1063497696 1417996928 2126995392 4253990784