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40869408 = 253312443
BaseRepresentation
bin1001101111100…
…1111000100000
32211220101021210
42123321320200
540430310113
64015550120
71004245536
oct233717040
984811253
1040869408
1121084878
121182b340
13860c4a8
1455dc156
1538c46c3
hex26f9e20

40869408 has 72 divisors (see below), whose sum is σ = 111104784. Its totient is φ = 13153920.

The previous prime is 40869407. The next prime is 40869427. The reversal of 40869408 is 80496804.

40869408 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 (40869403) 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 11 ways as a sum of consecutive naturals, for example, 92035 + ... + 92477.

It is an arithmetic number, because the mean of its divisors is an integer number (1543122).

Almost surely, 240869408 is an apocalyptic number.

40869408 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 40869408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552392).

40869408 is an abundant number, since it is smaller than the sum of its proper divisors (70235376).

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

40869408 is a wasteful number, since it uses less digits than its factorization.

40869408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 40869408 is about 6392.9185823065. The cubic root of 40869408 is about 344.4552292919.

The spelling of 40869408 in words is "forty million, eight hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 443 496 744 886 961 992 1329 1488 1772 1922 2658 2883 2976 3544 3844 5316 5766 7088 7688 10632 11532 13733 14176 15376 21264 23064 27466 30752 41199 42528 46128 54932 82398 92256 109864 164796 219728 329592 425723 439456 659184 851446 1277169 1318368 1702892 2554338 3405784 5108676 6811568 10217352 13623136 20434704 40869408