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31680852 = 2237343179
BaseRepresentation
bin111100011011…
…0100101010100
32012121112221220
41320312211110
531102241402
63051010340
7533166000
oct170664524
965545856
1031680852
1116979325
12a7399b0
136743088
1442c9700
152babdbc
hex1e36954

31680852 has 96 divisors (see below), whose sum is σ = 88704000. Its totient is φ = 8791776.

The previous prime is 31680841. The next prime is 31680863. The reversal of 31680852 is 25808613.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (31680841) and next prime (31680863).

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 31 ways as a sum of consecutive naturals, for example, 176899 + ... + 177077.

It is an arithmetic number, because the mean of its divisors is an integer number (924000).

Almost surely, 231680852 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 31680852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44352000).

31680852 is an abundant number, since it is smaller than the sum of its proper divisors (57023148).

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

31680852 is a wasteful number, since it uses less digits than its factorization.

31680852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 31680852 is about 5628.5745975336. The cubic root of 31680852 is about 316.4212322922.

The spelling of 31680852 in words is "thirty-one million, six hundred eighty thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 49 84 86 98 129 147 172 179 196 258 294 301 343 358 516 537 588 602 686 716 903 1029 1074 1204 1253 1372 1806 2058 2107 2148 2506 3612 3759 4116 4214 5012 6321 7518 7697 8428 8771 12642 14749 15036 15394 17542 23091 25284 26313 29498 30788 35084 44247 46182 52626 53879 58996 61397 88494 92364 105252 107758 122794 161637 176988 184191 215516 245588 323274 368382 377153 646548 736764 754306 1131459 1508612 2262918 2640071 4525836 5280142 7920213 10560284 15840426 31680852