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400530816 = 2732749669
BaseRepresentation
bin10111110111111…
…001110110000000
31000220200001222200
4113313321312000
51310013441231
6103424433200
712632312220
oct2767716600
91026601880
10400530816
111960a8804
12b2178800
1364c990aa
143b2a2080
152526abe6
hex17df9d80

400530816 has 96 divisors (see below), whose sum is σ = 1317248400. Its totient is φ = 114435072.

The previous prime is 400530799. The next prime is 400530821. The reversal of 400530816 is 618035004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 400530816.

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 11 ways as a sum of consecutive naturals, for example, 16771 + ... + 32898.

Almost surely, 2400530816 is an apocalyptic number.

It is an amenable number.

400530816 is an abundant number, since it is smaller than the sum of its proper divisors (916717584).

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

400530816 is a wasteful number, since it uses less digits than its factorization.

400530816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49696 (or 49681 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 400530816 is about 20013.2660003309. The cubic root of 400530816 is about 737.1320794736.

The spelling of 400530816 in words is "four hundred million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 8064 49669 99338 149007 198676 298014 347683 397352 447021 596028 695366 794704 894042 1043049 1192056 1390732 1589408 1788084 2086098 2384112 2781464 3129147 3178816 3576168 4172196 4768224 5562928 6258294 6357632 7152336 8344392 9536448 11125856 12516588 14304672 16688784 19072896 22251712 25033176 28609344 33377568 44503424 50066352 57218688 66755136 100132704 133510272 200265408 400530816