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401985808 = 24721730161
BaseRepresentation
bin10111111101011…
…101000100010000
31001000101222212021
4113331131010100
51310402021213
6103515541224
712650552200
oct2775350420
91030358767
10401985808
11196a01984
12b275a814
1365388433
143b560400
1525456d8d
hex17f5d110

401985808 has 60 divisors (see below), whose sum is σ = 959332572. Its totient is φ = 162140160.

The previous prime is 401985781. The next prime is 401985817. The reversal of 401985808 is 808589104.

It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 84860944 = 17808^2 + 9212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1753 + ... + 28408.

Almost surely, 2401985808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401985808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479666286).

401985808 is an abundant number, since it is smaller than the sum of its proper divisors (557346764).

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

401985808 is a wasteful number, since it uses less digits than its factorization.

401985808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30200 (or 30187 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 43.

The square root of 401985808 is about 20049.5837363273. The cubic root of 401985808 is about 738.0235840711.

The spelling of 401985808 in words is "four hundred one million, nine hundred eighty-five thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 392 476 784 833 952 1666 1904 3332 6664 13328 30161 60322 120644 211127 241288 422254 482576 512737 844508 1025474 1477889 1689016 2050948 2955778 3378032 3589159 4101896 5911556 7178318 8203792 11823112 14356636 23646224 25124113 28713272 50248226 57426544 100496452 200992904 401985808