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31421088 = 253341887
BaseRepresentation
bin111011111011…
…1001010100000
32012010100122000
41313313022200
531020433323
63041244000
7531034446
oct167671240
965110560
1031421088
1116811146
12a633600
136681a7a
14425cb96
152b59e43
hex1df72a0

31421088 has 96 divisors (see below), whose sum is σ = 93985920. Its totient is φ = 10206720.

The previous prime is 31421081. The next prime is 31421101. The reversal of 31421088 is 88012413.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×314210882 = 1974569542207488, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31421081) 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, 34981 + ... + 35867.

It is an arithmetic number, because the mean of its divisors is an integer number (979020).

Almost surely, 231421088 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 31421088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46992960).

31421088 is an abundant number, since it is smaller than the sum of its proper divisors (62564832).

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

31421088 is a wasteful number, since it uses less digits than its factorization.

31421088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 31421088 is about 5605.4516321167. The cubic root of 31421088 is about 315.5540363024.

The spelling of 31421088 in words is "thirty-one million, four hundred twenty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 82 96 108 123 144 164 216 246 288 328 369 432 492 656 738 864 887 984 1107 1312 1476 1774 1968 2214 2661 2952 3548 3936 4428 5322 5904 7096 7983 8856 10644 11808 14192 15966 17712 21288 23949 28384 31932 35424 36367 42576 47898 63864 72734 85152 95796 109101 127728 145468 191592 218202 255456 290936 327303 383184 436404 581872 654606 766368 872808 981909 1163744 1309212 1745616 1963818 2618424 3491232 3927636 5236848 7855272 10473696 15710544 31421088