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52696512 = 2632118317
BaseRepresentation
bin1100100100000…
…1010111000000
310200011021000200
43021001113000
5101442242022
65121245200
71206625101
oct311012700
9120137020
1052696512
1127822740
1215793800
13abc088b
146dda3a8
15495dbac
hex32415c0

52696512 has 84 divisors (see below), whose sum is σ = 164796216. Its totient is φ = 15966720.

The previous prime is 52696507. The next prime is 52696513. The reversal of 52696512 is 21569625.

52696512 is a `hidden beast` number, since 52 + 6 + 96 + 512 = 666.

It is a super-2 number, since 2×526965122 = 5553844753932288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52696513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2178 + ... + 10494.

Almost surely, 252696512 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 52696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82398108).

52696512 is an abundant number, since it is smaller than the sum of its proper divisors (112099704).

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

52696512 is a wasteful number, since it uses less digits than its factorization.

52696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8333 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52696512 is about 7259.2363234709. The cubic root of 52696512 is about 374.9102291782.

It can be divided in two parts, 5269 and 6512, that added together give a triangular number (11781 = T153).

The spelling of 52696512 in words is "fifty-two million, six hundred ninety-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 8317 16634 24951 33268 49902 66536 74853 91487 99804 133072 149706 182974 199608 266144 274461 299412 365948 399216 532288 548922 598824 731896 798432 823383 1097844 1197648 1463792 1596864 1646766 2195688 2395296 2927584 3293532 4391376 4790592 5855168 6587064 8782752 13174128 17565504 26348256 52696512