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40696368 = 2431753941
BaseRepresentation
bin1001101100111…
…1101000110000
32211120120220220
42123033220300
540404240433
64012133040
71002625206
oct233175060
984516826
1040696368
1120a76869
1211767180
13857b7bb
145595076
15388d2b3
hex26cfa30

40696368 has 80 divisors (see below), whose sum is σ = 113537376. Its totient is φ = 12513280.

The previous prime is 40696363. The next prime is 40696379. The reversal of 40696368 is 86369604.

40696368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40696363) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 42778 + ... + 43718.

Almost surely, 240696368 is an apocalyptic number.

40696368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40696368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56768688).

40696368 is an abundant number, since it is smaller than the sum of its proper divisors (72841008).

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

40696368 is a wasteful number, since it uses less digits than its factorization.

40696368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 40696368 is about 6379.3705018599. The cubic root of 40696368 is about 343.9684034437.

The spelling of 40696368 in words is "forty million, six hundred ninety-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 53 68 102 106 136 159 204 212 272 318 408 424 636 816 848 901 941 1272 1802 1882 2544 2703 2823 3604 3764 5406 5646 7208 7528 10812 11292 14416 15056 15997 21624 22584 31994 43248 45168 47991 49873 63988 95982 99746 127976 149619 191964 199492 255952 299238 383928 398984 598476 767856 797968 847841 1196952 1695682 2393904 2543523 3391364 5087046 6782728 10174092 13565456 20348184 40696368