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31147392 = 273292797
BaseRepresentation
bin111011011010…
…0010110000000
32011121110012010
41312310112000
530433204032
63031332520
7525514503
oct166642600
964543163
1031147392
1116644551
12a521140
1365b7313
1441cb13a
152b03ccc
hex1db4580

31147392 has 64 divisors (see below), whose sum is σ = 85618800. Its totient is φ = 10020864.

The previous prime is 31147381. The next prime is 31147397. The reversal of 31147392 is 29374113.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31147397) 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, 9738 + ... + 12534.

Almost surely, 231147392 is an apocalyptic number.

31147392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31147392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42809400).

31147392 is an abundant number, since it is smaller than the sum of its proper divisors (54471408).

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

31147392 is a wasteful number, since it uses less digits than its factorization.

31147392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2843 (or 2831 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 31147392 is about 5580.9848593237. The cubic root of 31147392 is about 314.6351431921.

The spelling of 31147392 in words is "thirty-one million, one hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 1392 1856 2784 2797 3712 5568 5594 8391 11136 11188 16782 22376 33564 44752 67128 81113 89504 134256 162226 179008 243339 268512 324452 358016 486678 537024 648904 973356 1074048 1297808 1946712 2595616 3893424 5191232 7786848 10382464 15573696 31147392