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52712856 = 2334711621
BaseRepresentation
bin1100100100010…
…1010110011000
310200012002110000
43021011112120
5101443302411
65121453000
71210023540
oct311052630
9120162400
1052712856
1127833a49
12157a1160
13abc8151
147002320
154963956
hex3245598

52712856 has 80 divisors (see below), whose sum is σ = 168751440. Its totient is φ = 15059520.

The previous prime is 52712851. The next prime is 52712867. The reversal of 52712856 is 65821725.

It is a happy number.

52712856 is a `hidden beast` number, since 527 + 128 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 52712856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52712851) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1275 + ... + 10346.

It is an arithmetic number, because the mean of its divisors is an integer number (2109393).

Almost surely, 252712856 is an apocalyptic number.

52712856 is a gapful number since it is divisible by the number (56) 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 52712856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84375720).

52712856 is an abundant number, since it is smaller than the sum of its proper divisors (116038584).

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

52712856 is a wasteful number, since it uses less digits than its factorization.

52712856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11646 (or 11633 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 52712856 is about 7260.3619744473. The cubic root of 52712856 is about 374.9489850603.

The spelling of 52712856 in words is "fifty-two million, seven hundred twelve thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 11621 23242 34863 46484 69726 81347 92968 104589 139452 162694 209178 244041 278904 313767 325388 418356 488082 627534 650776 732123 836712 941301 976164 1255068 1464246 1882602 1952328 2196369 2510136 2928492 3765204 4392738 5856984 6589107 7530408 8785476 13178214 17570952 26356428 52712856