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52360512 = 2632371167
BaseRepresentation
bin1100011110111…
…1010101000000
310122112012010020
43013233111000
5101401014022
65110133440
71204025361
oct307572500
9118465106
1052360512
1127613256
1215651280
13ab03969
146d4db68
1548e435c
hex31ef540

52360512 has 112 divisors (see below), whose sum is σ = 147474432. Its totient is φ = 16360960.

The previous prime is 52360487. The next prime is 52360531. The reversal of 52360512 is 21506325.

52360512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313453 + ... + 313619.

It is an arithmetic number, because the mean of its divisors is an integer number (1316736).

Almost surely, 252360512 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 52360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73737216).

52360512 is an abundant number, since it is smaller than the sum of its proper divisors (95113920).

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

52360512 is a wasteful number, since it uses less digits than its factorization.

52360512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 52360512 is about 7236.0563845233. The cubic root of 52360512 is about 374.1117036962. Note that the first 3 decimals are identical.

Adding to 52360512 its reverse (21506325), we get a palindrome (73866837).

The spelling of 52360512 in words is "fifty-two million, three hundred sixty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 138 142 167 184 192 213 276 284 334 368 426 501 552 568 668 736 852 1002 1104 1136 1336 1472 1633 1704 2004 2208 2272 2672 3266 3408 3841 4008 4416 4544 4899 5344 6532 6816 7682 8016 9798 10688 11523 11857 13064 13632 15364 16032 19596 23046 23714 26128 30728 32064 35571 39192 46092 47428 52256 61456 71142 78384 92184 94856 104512 122912 142284 156768 184368 189712 245824 272711 284568 313536 368736 379424 545422 569136 737472 758848 818133 1090844 1138272 1636266 2181688 2276544 3272532 4363376 6545064 8726752 13090128 17453504 26180256 52360512