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31913136 = 2433312383
BaseRepresentation
bin111100110111…
…1010010110000
32020001100121000
41321233102300
531132210021
63100002000
7535154133
oct171572260
966040530
1031913136
11170178a2
12a830300
1367c4a18
14434a21a
152c05b26
hex1e6f4b0

31913136 has 80 divisors (see below), whose sum is σ = 94597120. Its totient is φ = 10290240.

The previous prime is 31913113. The next prime is 31913177. The reversal of 31913136 is 63131913.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12201 + ... + 14583.

It is an arithmetic number, because the mean of its divisors is an integer number (1182464).

Almost surely, 231913136 is an apocalyptic number.

31913136 is a gapful number since it is divisible by the number (36) 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 31913136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47298560).

31913136 is an abundant number, since it is smaller than the sum of its proper divisors (62683984).

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

31913136 is a wasteful number, since it uses less digits than its factorization.

31913136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2419 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 31913136 is about 5649.1712666550. The cubic root of 31913136 is about 317.1926833954.

The spelling of 31913136 in words is "thirty-one million, nine hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 837 1116 1488 1674 2232 2383 3348 4464 4766 6696 7149 9532 13392 14298 19064 21447 28596 38128 42894 57192 64341 73873 85788 114384 128682 147746 171576 221619 257364 295492 343152 443238 514728 590984 664857 886476 1029456 1181968 1329714 1772952 1994571 2659428 3545904 3989142 5318856 7978284 10637712 15956568 31913136