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52313688 = 2334719607
BaseRepresentation
bin1100011110001…
…1111001011000
310122102210220000
43013203321120
5101343014223
65105133000
71203442020
oct307437130
9118383800
1052313688
1127591059
121562a160
13aab855b
146d3aa80
1548d5543
hex31e3e58

52313688 has 160 divisors (see below), whose sum is σ = 176563200. Its totient is φ = 14136768.

The previous prime is 52313687. The next prime is 52313699. The reversal of 52313688 is 88631325.

It is a super-2 number, since 2×523136882 = 5473443904322688, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52313683) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85881 + ... + 86487.

It is an arithmetic number, because the mean of its divisors is an integer number (1103520).

Almost surely, 252313688 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 52313688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88281600).

52313688 is an abundant number, since it is smaller than the sum of its proper divisors (124249512).

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

52313688 is a wasteful number, since it uses less digits than its factorization.

52313688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 52313688 is about 7232.8201968527. The cubic root of 52313688 is about 374.0001525160. Note that the first 3 decimals are identical.

The spelling of 52313688 in words is "fifty-two million, three hundred thirteen thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 607 648 684 756 798 1026 1064 1134 1197 1214 1368 1512 1539 1596 1821 2052 2268 2394 2428 3078 3192 3591 3642 4104 4249 4536 4788 4856 5463 6156 7182 7284 8498 9576 10773 10926 11533 12312 12747 14364 14568 16389 16996 21546 21852 23066 25494 28728 32778 33992 34599 38241 43092 43704 46132 49167 50988 65556 69198 76482 80731 86184 92264 98334 101976 103797 114723 131112 138396 152964 161462 196668 207594 229446 242193 276792 305928 311391 322924 344169 393336 415188 458892 484386 622782 645848 688338 726579 830376 917784 934173 968772 1245564 1376676 1453158 1868346 1937544 2179737 2491128 2753352 2906316 3736692 4359474 5812632 6539211 7473384 8718948 13078422 17437896 26156844 52313688