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40921344 = 283217761
BaseRepresentation
bin1001110000011…
…0100100000000
32212000000112100
42130012210000
540433440334
64021030400
71004553132
oct234064400
985000470
1040921344
112110a8a2
1211855400
13862a019
145613052
1538d4c99
hex2706900

40921344 has 54 divisors (see below), whose sum is σ = 117992966. Its totient is φ = 13639680.

The previous prime is 40921343. The next prime is 40921351. The reversal of 40921344 is 44312904.

40921344 is a `hidden beast` number, since 409 + 213 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32626944 + 8294400 = 5712^2 + 2880^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (40921343) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6577 + ... + 11184.

Almost surely, 240921344 is an apocalyptic number.

It is an amenable number.

40921344 is an abundant number, since it is smaller than the sum of its proper divisors (77071622).

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

40921344 is a wasteful number, since it uses less digits than its factorization.

40921344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17783 (or 17766 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40921344 is about 6396.9792871323. The cubic root of 40921344 is about 344.6010763944.

The spelling of 40921344 in words is "forty million, nine hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 17761 35522 53283 71044 106566 142088 159849 213132 284176 319698 426264 568352 639396 852528 1136704 1278792 1705056 2273408 2557584 3410112 4546816 5115168 6820224 10230336 13640448 20460672 40921344