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31275264 = 283193211
BaseRepresentation
bin111011101001…
…1100100000000
32011211221121010
41313103210000
531001302024
63034200520
7526556346
oct167234400
964757533
1031275264
1116721629
12a583140
136630597
144221996
152b2bb29
hex1dd3900

31275264 has 72 divisors (see below), whose sum is σ = 84065632. Its totient is φ = 10321920.

The previous prime is 31275221. The next prime is 31275269. The reversal of 31275264 is 46257213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31275269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148119 + ... + 148329.

Almost surely, 231275264 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 31275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032816).

31275264 is an abundant number, since it is smaller than the sum of its proper divisors (52790368).

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

31275264 is a wasteful number, since it uses less digits than its factorization.

31275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 409 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 31275264 is about 5592.4291680807. The cubic root of 31275264 is about 315.0651213309.

The spelling of 31275264 in words is "thirty-one million, two hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 193 211 256 384 386 422 579 633 768 772 844 1158 1266 1544 1688 2316 2532 3088 3376 4632 5064 6176 6752 9264 10128 12352 13504 18528 20256 24704 27008 37056 40512 40723 49408 54016 74112 81024 81446 122169 148224 162048 162892 244338 325784 488676 651568 977352 1303136 1954704 2606272 3909408 5212544 7818816 10425088 15637632 31275264