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31497312 = 2537114261
BaseRepresentation
bin111100000100…
…1110001100000
32012021020012010
41320021301200
531030403222
63043032520
7531502620
oct170116140
965236163
1031497312
1116863440
12a66b740
1366aa682
14427c880
152b7280c
hex1e09c60

31497312 has 96 divisors (see below), whose sum is σ = 103106304. Its totient is φ = 8179200.

The previous prime is 31497299. The next prime is 31497313. The reversal of 31497312 is 21379413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 31497312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31497313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5262 + ... + 9522.

It is an arithmetic number, because the mean of its divisors is an integer number (1074024).

Almost surely, 231497312 is an apocalyptic number.

31497312 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 31497312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51553152).

31497312 is an abundant number, since it is smaller than the sum of its proper divisors (71608992).

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

31497312 is a wasteful number, since it uses less digits than its factorization.

31497312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4292 (or 4284 counting only the distinct ones).

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

The square root of 31497312 is about 5612.2466089793. The cubic root of 31497312 is about 315.8089963603.

It can be divided in two parts, 3 and 1497312, that added together give a triangular number (1497315 = T1730).

The spelling of 31497312 in words is "thirty-one million, four hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 4261 7392 8522 12783 17044 25566 29827 34088 46871 51132 59654 68176 89481 93742 102264 119308 136352 140613 178962 187484 204528 238616 281226 328097 357924 374968 409056 477232 562452 656194 715848 749936 954464 984291 1124904 1312388 1431696 1499872 1968582 2249808 2624776 2863392 3937164 4499616 5249552 7874328 10499104 15748656 31497312