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31297392 = 2432761509
BaseRepresentation
bin111011101100…
…0111101110000
32011220001221200
41313120331300
531003004032
63034451200
7530011020
oct167307560
964801850
1031297392
1116737215
12a593b00
13663a689
144229a80
152b3347c
hex1dd8f70

31297392 has 120 divisors (see below), whose sum is σ = 101942880. Its totient is φ = 8778240.

The previous prime is 31297373. The next prime is 31297397. The reversal of 31297392 is 29379213.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31297397) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61234 + ... + 61742.

It is an arithmetic number, because the mean of its divisors is an integer number (849524).

Almost surely, 231297392 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 31297392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971440).

31297392 is an abundant number, since it is smaller than the sum of its proper divisors (70645488).

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

31297392 is a wasteful number, since it uses less digits than its factorization.

31297392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 582 counting only the distinct ones).

The product of its digits is 20412, while the sum is 36.

The square root of 31297392 is about 5594.4072072026. The cubic root of 31297392 is about 315.1394091922.

The spelling of 31297392 in words is "thirty-one million, two hundred ninety-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 61 63 72 84 112 122 126 144 168 183 244 252 336 366 427 488 504 509 549 732 854 976 1008 1018 1098 1281 1464 1527 1708 2036 2196 2562 2928 3054 3416 3563 3843 4072 4392 4581 5124 6108 6832 7126 7686 8144 8784 9162 10248 10689 12216 14252 15372 18324 20496 21378 24432 28504 30744 31049 32067 36648 42756 57008 61488 62098 64134 73296 85512 93147 124196 128268 171024 186294 217343 248392 256536 279441 372588 434686 496784 513072 558882 652029 745176 869372 1117764 1304058 1490352 1738744 1956087 2235528 2608116 3477488 3912174 4471056 5216232 7824348 10432464 15648696 31297392