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31466112 = 27381943
BaseRepresentation
bin111100000001…
…0001010000000
32012012122101120
41320002022000
531023403422
63042232240
7531312636
oct170021200
965178346
1031466112
1116841a57
12a655680
136699402
144271356
152b6845c
hex1e02280

31466112 has 32 divisors (see below), whose sum is σ = 83582880. Its totient is φ = 10488576.

The previous prime is 31466107. The next prime is 31466119. The reversal of 31466112 is 21166413.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31466119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40588 + ... + 41355.

It is an arithmetic number, because the mean of its divisors is an integer number (2611965).

Almost surely, 231466112 is an apocalyptic number.

31466112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

31466112 is an abundant number, since it is smaller than the sum of its proper divisors (52116768).

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

31466112 is an equidigital number, since it uses as much as digits as its factorization.

31466112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81960 (or 81948 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 31466112 is about 5609.4662847726. The cubic root of 31466112 is about 315.7046859153.

The spelling of 31466112 in words is "thirty-one million, four hundred sixty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 81943 163886 245829 327772 491658 655544 983316 1311088 1966632 2622176 3933264 5244352 7866528 10488704 15733056 31466112