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31995972 = 22341737157
BaseRepresentation
bin111101000001…
…1100001000100
32020012120020000
41322003201010
531142332342
63101441300
7535650501
oct172034104
966176200
1031995972
1117074058
12a870230
136823638
14436c4a8
152c2044c
hex1e83844

31995972 has 120 divisors (see below), whose sum is σ = 91536984. Its totient is φ = 9704448.

The previous prime is 31995959. The next prime is 31995983. The reversal of 31995972 is 27959913.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 19927296 = 3474^2 + 4464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 203718 + ... + 203874.

Almost surely, 231995972 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 31995972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45768492).

31995972 is an abundant number, since it is smaller than the sum of its proper divisors (59541012).

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

31995972 is a wasteful number, since it uses less digits than its factorization.

31995972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 31995972 is about 5656.4982100236. The cubic root of 31995972 is about 317.4668888942.

The spelling of 31995972 in words is "thirty-one million, nine hundred ninety-five thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 81 102 108 111 148 153 157 162 204 222 306 314 324 333 444 459 471 612 628 629 666 918 942 999 1258 1332 1377 1413 1836 1884 1887 1998 2516 2669 2754 2826 2997 3774 3996 4239 5338 5508 5652 5661 5809 5994 7548 8007 8478 10676 11322 11618 11988 12717 16014 16956 16983 17427 22644 23236 24021 25434 32028 33966 34854 48042 50868 50949 52281 67932 69708 72063 96084 98753 101898 104562 144126 156843 197506 203796 209124 216189 288252 296259 313686 395012 432378 470529 592518 627372 864756 888777 941058 1185036 1777554 1882116 2666331 3555108 5332662 7998993 10665324 15997986 31995972