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52642512 = 24321361461
BaseRepresentation
bin1100100011010…
…0001011010000
310200001111221200
43020310023100
5101434030022
65120151200
71206311466
oct310641320
9120044850
1052642512
112779610a
1215768500
13aba2120
146dc4836
15494cbac
hex32342d0

52642512 has 120 divisors (see below), whose sum is σ = 161609448. Its totient is φ = 15897600.

The previous prime is 52642507. The next prime is 52642517. The reversal of 52642512 is 21524625.

52642512 is a `hidden beast` number, since 5 + 2 + 642 + 5 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (52642507) and next prime (52642517).

It can be written as a sum of positive squares in 4 ways, for example, as 2005056 + 50637456 = 1416^2 + 7116^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52642517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113962 + ... + 114422.

Almost surely, 252642512 is an apocalyptic number.

52642512 is a gapful number since it is divisible by the number (52) 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 52642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80804724).

52642512 is an abundant number, since it is smaller than the sum of its proper divisors (108966936).

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

52642512 is a wasteful number, since it uses less digits than its factorization.

52642512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 540 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 52642512 is about 7255.5159706254. The cubic root of 52642512 is about 374.7821241048.

It can be divided in two parts, 5264 and 2512, that added together give a 5-th power (7776 = 65).

The spelling of 52642512 in words is "fifty-two million, six hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 61 72 78 104 117 122 144 156 183 208 234 244 312 366 461 468 488 549 624 732 793 922 936 976 1098 1383 1464 1586 1844 1872 2196 2379 2766 2928 3172 3688 4149 4392 4758 5532 5993 6344 7137 7376 8298 8784 9516 11064 11986 12688 14274 16596 17979 19032 22128 23972 28121 28548 33192 35958 38064 47944 53937 56242 57096 66384 71916 84363 95888 107874 112484 114192 143832 168726 215748 224968 253089 287664 337452 365573 431496 449936 506178 674904 731146 862992 1012356 1096719 1349808 1462292 2024712 2193438 2924584 3290157 4049424 4386876 5849168 6580314 8773752 13160628 17547504 26321256 52642512