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31423672 = 237797103
BaseRepresentation
bin111011111011…
…1110010111000
32012010111011201
41313313302320
531021024142
63041303544
7531045130
oct167676270
965114151
1031423672
1116813085
12a634bb4
136682cb7
14425dac0
152b5aab7
hex1df7cb8

31423672 has 32 divisors (see below), whose sum is σ = 68198400. Its totient is φ = 13294944.

The previous prime is 31423661. The next prime is 31423673. The reversal of 31423672 is 27632413.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 31423672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31423673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 873 + ... + 7975.

It is an arithmetic number, because the mean of its divisors is an integer number (2131200).

Almost surely, 231423672 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 31423672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34099200).

31423672 is an abundant number, since it is smaller than the sum of its proper divisors (36774728).

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

31423672 is a wasteful number, since it uses less digits than its factorization.

31423672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7191 counting only the distinct ones).

The product of its digits is 6048, while the sum is 28.

The square root of 31423672 is about 5605.6821172806. The cubic root of 31423672 is about 315.5626862180.

The spelling of 31423672 in words is "thirty-one million, four hundred twenty-three thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 79 158 316 553 632 1106 2212 4424 7103 14206 28412 49721 56824 99442 198884 397768 561137 1122274 2244548 3927959 4489096 7855918 15711836 31423672