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31429024 = 251128117
BaseRepresentation
bin111011111100…
…1000110100000
32012010202111221
41313321012200
531021212044
63041344424
7531066544
oct167710640
965122457
1031429024
1116817100
12a638114
136685573
144261a24
152b5c484
hex1df91a0

31429024 has 36 divisors (see below), whose sum is σ = 68020722. Its totient is φ = 14284160.

The previous prime is 31429019. The next prime is 31429043. The reversal of 31429024 is 42092413.

It can be written as a sum of positive squares in only one way, i.e., 20539024 + 10890000 = 4532^2 + 3300^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 31429024.

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 5 ways as a sum of consecutive naturals, for example, 187 + ... + 7930.

Almost surely, 231429024 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 31429024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34010361).

31429024 is an abundant number, since it is smaller than the sum of its proper divisors (36591698).

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

31429024 is a wasteful number, since it uses less digits than its factorization.

31429024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8149 (or 8130 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 31429024 is about 5606.1594697261. The cubic root of 31429024 is about 315.5806004794.

The spelling of 31429024 in words is "thirty-one million, four hundred twenty-nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 8117 16234 32468 64936 89287 129872 178574 259744 357148 714296 982157 1428592 1964314 2857184 3928628 7857256 15714512 31429024