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52257504 = 2531323221
BaseRepresentation
bin1100011101011…
…0001011100000
310122022221211010
43013112023200
5101334220004
65104020520
71203116145
oct307261340
9118287733
1052257504
1127552922
1215601740
13aa98b00
146d243cc
1548c3a89
hex31d62e0

52257504 has 72 divisors (see below), whose sum is σ = 148585752. Its totient is φ = 16074240.

The previous prime is 52257479. The next prime is 52257509. The reversal of 52257504 is 40575225.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52257509) 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, 14614 + ... + 17834.

It is an arithmetic number, because the mean of its divisors is an integer number (2063691).

Almost surely, 252257504 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 52257504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74292876).

52257504 is an abundant number, since it is smaller than the sum of its proper divisors (96328248).

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

52257504 is a wasteful number, since it uses less digits than its factorization.

52257504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3260 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 52257504 is about 7228.9351912989. The cubic root of 52257504 is about 373.8662146479.

The spelling of 52257504 in words is "fifty-two million, two hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 3221 4056 5408 6442 8112 9663 12884 16224 19326 25768 38652 41873 51536 77304 83746 103072 125619 154608 167492 251238 309216 334984 502476 544349 669968 1004952 1088698 1339936 1633047 2009904 2177396 3266094 4019808 4354792 6532188 8709584 13064376 17419168 26128752 52257504