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40691328 = 273105967
BaseRepresentation
bin1001101100111…
…0011010000000
32211120100000020
42123032122000
540404110303
64012053440
71002604416
oct233163200
984510006
1040691328
1120a72aa7
1211764280
138579412
1455932b6
15388ba53
hex26ce680

40691328 has 32 divisors (see below), whose sum is σ = 108087360. Its totient is φ = 13563648.

The previous prime is 40691291. The next prime is 40691363. The reversal of 40691328 is 82319604.

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

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52600 + ... + 53367.

It is an arithmetic number, because the mean of its divisors is an integer number (3377730).

Almost surely, 240691328 is an apocalyptic number.

40691328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40691328 is an abundant number, since it is smaller than the sum of its proper divisors (67396032).

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

40691328 is a wasteful number, since it uses less digits than its factorization.

40691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105984 (or 105972 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 40691328 is about 6378.9754663269. The cubic root of 40691328 is about 343.9542033860.

The spelling of 40691328 in words is "forty million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 105967 211934 317901 423868 635802 847736 1271604 1695472 2543208 3390944 5086416 6781888 10172832 13563776 20345664 40691328