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31990608 = 24321323743
BaseRepresentation
bin111101000001…
…0001101010000
32020012021212100
41322002031100
531142144413
63101400400
7535626036
oct172021520
966167770
1031990608
1117070021
12a869100
136821070
14436a556
152c1da73
hex1e82350

31990608 has 120 divisors (see below), whose sum is σ = 100743552. Its totient is φ = 9402624.

The previous prime is 31990601. The next prime is 31990649. The reversal of 31990608 is 80609913.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31990601) 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, 42685 + ... + 43427.

Almost surely, 231990608 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 31990608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

31990608 is an abundant number, since it is smaller than the sum of its proper divisors (68752944).

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

31990608 is a wasteful number, since it uses less digits than its factorization.

31990608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 31990608 is about 5656.0240452106. The cubic root of 31990608 is about 317.4491472072.

The spelling of 31990608 in words is "thirty-one million, nine hundred ninety thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 36 39 46 48 52 69 72 78 92 104 117 138 144 156 184 207 208 234 276 299 312 368 414 468 552 598 624 743 828 897 936 1104 1196 1486 1656 1794 1872 2229 2392 2691 2972 3312 3588 4458 4784 5382 5944 6687 7176 8916 9659 10764 11888 13374 14352 17089 17832 19318 21528 26748 28977 34178 35664 38636 43056 51267 53496 57954 68356 77272 86931 102534 106992 115908 136712 153801 154544 173862 205068 222157 231816 273424 307602 347724 410136 444314 463632 615204 666471 695448 820272 888628 1230408 1332942 1390896 1777256 1999413 2460816 2665884 3554512 3998826 5331768 7997652 10663536 15995304 31990608