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400536144 = 2433927167
BaseRepresentation
bin10111110111111…
…011001001010000
31000220200100022000
4113313323021100
51310014124034
6103424514000
712632333601
oct2767731120
91026610260
10400536144
11196101808
12b217b900
1364c9b648
143b2a3da8
152526c599
hex17dfb250

400536144 has 40 divisors (see below), whose sum is σ = 1149688320. Its totient is φ = 133511904.

The previous prime is 400536121. The next prime is 400536173. The reversal of 400536144 is 441635004.

400536144 is a `hidden beast` number, since 40 + 0 + 5 + 3 + 614 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463152 + ... + 464015.

It is an arithmetic number, because the mean of its divisors is an integer number (28742208).

Almost surely, 2400536144 is an apocalyptic number.

It is an amenable number.

400536144 is an abundant number, since it is smaller than the sum of its proper divisors (749152176).

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

400536144 is a wasteful number, since it uses less digits than its factorization.

400536144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927184 (or 927172 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 400536144 is about 20013.3991115952. The cubic root of 400536144 is about 737.1353479881.

The spelling of 400536144 in words is "four hundred million, five hundred thirty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 927167 1854334 2781501 3708668 5563002 7417336 8344503 11126004 14834672 16689006 22252008 25033509 33378012 44504016 50067018 66756024 100134036 133512048 200268072 400536144