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40431872 = 281312149
BaseRepresentation
bin1001101000111…
…1000100000000
32211002011002202
42122033010000
540322304442
64002332332
71000444115
oct232170400
984064082
1040431872
1120906078
121165a0a8
1384b82b0
14552690c
153839c32
hex268f100

40431872 has 36 divisors (see below), whose sum is σ = 86921100. Its totient is φ = 18659328.

The previous prime is 40431871. The next prime is 40431877. The reversal of 40431872 is 27813404.

It can be written as a sum of positive squares in 2 ways, for example, as 25563136 + 14868736 = 5056^2 + 3856^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40431871) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2747 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (2414475).

Almost surely, 240431872 is an apocalyptic number.

It is an amenable number.

40431872 is an abundant number, since it is smaller than the sum of its proper divisors (46489228).

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

40431872 is a wasteful number, since it uses less digits than its factorization.

40431872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12178 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 40431872 is about 6358.6061365680. The cubic root of 40431872 is about 343.2216039707.

The spelling of 40431872 in words is "forty million, four hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 12149 24298 48596 97192 157937 194384 315874 388768 631748 777536 1263496 1555072 2526992 3110144 5053984 10107968 20215936 40431872