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52657152 = 210361281
BaseRepresentation
bin1100100011011…
…1110000000000
310200002021000220
43020313300000
5101440012102
65120343040
71206402252
oct310676000
9120067026
1052657152
11277a6109
1215774a80
13aba89a2
146dc9cd2
1549521bc
hex3237c00

52657152 has 88 divisors (see below), whose sum is σ = 143158992. Its totient is φ = 17203200.

The previous prime is 52657147. The next prime is 52657169. The reversal of 52657152 is 25175625.

It is a super-2 number, since 2×526571522 = 5545551313502208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187252 + ... + 187532.

Almost surely, 252657152 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 52657152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71579496).

52657152 is an abundant number, since it is smaller than the sum of its proper divisors (90501840).

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

52657152 is a wasteful number, since it uses less digits than its factorization.

52657152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 347 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 52657152 is about 7256.5247880787. The cubic root of 52657152 is about 374.8168634661.

The spelling of 52657152 in words is "fifty-two million, six hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 281 366 384 488 512 562 732 768 843 976 1024 1124 1464 1536 1686 1952 2248 2928 3072 3372 3904 4496 5856 6744 7808 8992 11712 13488 15616 17141 17984 23424 26976 31232 34282 35968 46848 51423 53952 62464 68564 71936 93696 102846 107904 137128 143872 187392 205692 215808 274256 287744 411384 431616 548512 822768 863232 1097024 1645536 2194048 3291072 4388096 6582144 8776192 13164288 17552384 26328576 52657152