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235425504 = 25319337383
BaseRepresentation
bin11100000100001…
…00111011100000
3121101222212002010
432002010323200
5440232104004
635205552520
75556040506
oct1602047340
9541885063
10235425504
11110989736
1266a15740
1339a0b942
14233a4676
1515a05a89
hexe084ee0

235425504 has 96 divisors (see below), whose sum is σ = 654151680. Its totient is φ = 73930752.

The previous prime is 235425497. The next prime is 235425521. The reversal of 235425504 is 405524532.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614497 + ... + 614879.

It is an arithmetic number, because the mean of its divisors is an integer number (6814080).

Almost surely, 2235425504 is an apocalyptic number.

235425504 is a gapful number since it is divisible by the number (24) 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 235425504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327075840).

235425504 is an abundant number, since it is smaller than the sum of its proper divisors (418726176).

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

235425504 is a wasteful number, since it uses less digits than its factorization.

235425504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 235425504 is about 15343.5818504025. The cubic root of 235425504 is about 617.4728068581.

The spelling of 235425504 in words is "two hundred thirty-five million, four hundred twenty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 337 383 456 608 674 766 912 1011 1149 1348 1532 1824 2022 2298 2696 3064 4044 4596 5392 6128 6403 7277 8088 9192 10784 12256 12806 14554 16176 18384 19209 21831 25612 29108 32352 36768 38418 43662 51224 58216 76836 87324 102448 116432 129071 153672 174648 204896 232864 258142 307344 349296 387213 516284 614688 698592 774426 1032568 1548852 2065136 2452349 3097704 4130272 4904698 6195408 7357047 9809396 12390816 14714094 19618792 29428188 39237584 58856376 78475168 117712752 235425504