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40412960 = 255736083
BaseRepresentation
bin1001101000101…
…0011100100000
32211001012011022
42122022130200
540321203320
64002105012
71000335020
oct232123440
984035138
1040412960
11208a2945
121164b168
1384ac7c3
14551da80
153834325
hex268a720

40412960 has 48 divisors (see below), whose sum is σ = 109118016. Its totient is φ = 13855488.

The previous prime is 40412947. The next prime is 40412971. The reversal of 40412960 is 6921404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16922 + ... + 19161.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 240412960 is an apocalyptic number.

40412960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40412960 is an abundant number, since it is smaller than the sum of its proper divisors (68705056).

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

40412960 is a wasteful number, since it uses less digits than its factorization.

40412960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36105 (or 36097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 40412960 is about 6357.1188442564. The cubic root of 40412960 is about 343.1680816794.

The spelling of 40412960 in words is "forty million, four hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 36083 72166 144332 180415 252581 288664 360830 505162 577328 721660 1010324 1154656 1262905 1443320 2020648 2525810 2886640 4041296 5051620 5773280 8082592 10103240 20206480 40412960