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31421952 = 29332273
BaseRepresentation
bin111011111011…
…1011000000000
32012010101211000
41313313120000
531021000302
63041252000
7531040122
oct167673000
965111730
1031421952
1116811861
12a634000
136682293
14425d212
152b5a31c
hex1df7600

31421952 has 80 divisors (see below), whose sum is σ = 93052080. Its totient is φ = 10469376.

The previous prime is 31421947. The next prime is 31421963. The reversal of 31421952 is 25912413.

31421952 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12688 + ... + 14960.

It is an arithmetic number, because the mean of its divisors is an integer number (1163151).

Almost surely, 231421952 is an apocalyptic number.

31421952 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 31421952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46526040).

31421952 is an abundant number, since it is smaller than the sum of its proper divisors (61630128).

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

31421952 is an equidigital number, since it uses as much as digits as its factorization.

31421952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300 (or 2278 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 31421952 is about 5605.5286994181. The cubic root of 31421952 is about 315.5569285870.

The spelling of 31421952 in words is "thirty-one million, four hundred twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2273 2304 3456 4546 4608 6819 6912 9092 13638 13824 18184 20457 27276 36368 40914 54552 61371 72736 81828 109104 122742 145472 163656 218208 245484 290944 327312 436416 490968 581888 654624 872832 981936 1163776 1309248 1745664 1963872 2618496 3491328 3927744 5236992 7855488 10473984 15710976 31421952