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4253015424 = 27376732351
BaseRepresentation
bin1111110101111111…
…1101110110000000
3101222101210120100210
43331133331312000
532202232443144
61542004514120
7210252014610
oct37537756600
911871716323
104253015424
111892797489
129a83ab940
1352a17b798
142c4bb6a40
1519d5a2ab9
hexfd7fdd80

4253015424 has 128 divisors (see below), whose sum is σ = 12935623680. Its totient is φ = 1212825600.

The previous prime is 4253015419. The next prime is 4253015453. The reversal of 4253015424 is 4245103524.

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

It is a junction number, because it is equal to n+sod(n) for n = 4253015391 and 4253015400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807849 + ... + 1810199.

It is an arithmetic number, because the mean of its divisors is an integer number (101059560).

Almost surely, 24253015424 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 4253015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467811840).

4253015424 is an abundant number, since it is smaller than the sum of its proper divisors (8682608256).

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

4253015424 is a wasteful number, since it uses less digits than its factorization.

4253015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3048 (or 3036 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 4253015424 is about 65215.1471975645. The cubic root of 4253015424 is about 1620.1889003927.

Adding to 4253015424 its reverse (4245103524), we get a palindrome (8498118948).

The spelling of 4253015424 in words is "four billion, two hundred fifty-three million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 673 896 1344 1346 2019 2351 2688 2692 4038 4702 4711 5384 7053 8076 9404 9422 10768 14106 14133 16152 16457 18808 18844 21536 28212 28266 32304 32914 37616 37688 43072 49371 56424 56532 64608 65828 75232 75376 86144 98742 112848 113064 129216 131656 150464 150752 197484 225696 226128 258432 263312 300928 301504 394968 451392 452256 526624 603008 789936 902784 904512 1053248 1579872 1582223 1809024 2106496 3159744 3164446 4746669 6319488 6328892 9493338 11075561 12657784 18986676 22151122 25315568 33226683 37973352 44302244 50631136 66453366 75946704 88604488 101262272 132906732 151893408 177208976 202524544 265813464 303786816 354417952 531626928 607573632 708835904 1063253856 1417671808 2126507712 4253015424