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52502688 = 253378681
BaseRepresentation
bin1100100001001…
…0000010100000
310122210102011000
43020102002200
5101420041223
65113152000
71205160030
oct310220240
9118712130
1052502688
1127700057
12156bb600
13ab535a4
146d898c0
154921543
hex32120a0

52502688 has 96 divisors (see below), whose sum is σ = 175029120. Its totient is φ = 14999040.

The previous prime is 52502687. The next prime is 52502693. The reversal of 52502688 is 88620525.

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

It is a super-3 number, since 3×525026883 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52502687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 10388.

It is an arithmetic number, because the mean of its divisors is an integer number (1823220).

Almost surely, 252502688 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 52502688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87514560).

52502688 is an abundant number, since it is smaller than the sum of its proper divisors (122526432).

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

52502688 is a wasteful number, since it uses less digits than its factorization.

52502688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8707 (or 8693 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52502688 is about 7245.8738603429. The cubic root of 52502688 is about 374.4500097563.

The spelling of 52502688 in words is "fifty-two million, five hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 8681 17362 26043 34724 52086 60767 69448 78129 104172 121534 138896 156258 182301 208344 234387 243068 277792 312516 364602 416688 468774 486136 546903 625032 729204 833376 937548 972272 1093806 1250064 1458408 1640709 1875096 1944544 2187612 2500128 2916816 3281418 3750192 4375224 5833632 6562836 7500384 8750448 13125672 17500896 26251344 52502688