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31239972 = 22331392081
BaseRepresentation
bin111011100101…
…0111100100100
32011210011012000
41313022330210
530444134342
63033325300
7526351431
oct167127444
964704160
1031239972
11166a8065
12a566830
13661a4ba
144212b88
152b2144c
hex1dcaf24

31239972 has 48 divisors (see below), whose sum is σ = 81614400. Its totient is φ = 10333440.

The previous prime is 31239961. The next prime is 31239977. The reversal of 31239972 is 27993213.

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

It is not an unprimeable number, because it can be changed into a prime (31239977) 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, 13972 + ... + 16052.

It is an arithmetic number, because the mean of its divisors is an integer number (1700300).

Almost surely, 231239972 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 31239972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40807200).

31239972 is an abundant number, since it is smaller than the sum of its proper divisors (50374428).

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

31239972 is a wasteful number, since it uses less digits than its factorization.

31239972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

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

The square root of 31239972 is about 5589.2729401954. The cubic root of 31239972 is about 314.9465669004.

The spelling of 31239972 in words is "thirty-one million, two hundred thirty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 139 278 417 556 834 1251 1668 2081 2502 3753 4162 5004 6243 7506 8324 12486 15012 18729 24972 37458 56187 74916 112374 224748 289259 578518 867777 1157036 1735554 2603331 3471108 5206662 7809993 10413324 15619986 31239972