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400800798 = 2353137719
BaseRepresentation
bin10111111000111…
…011110000011110
31000221011210100000
4113320323300132
51310101111143
6103434315130
712634515306
oct2770736036
91027153300
10400800798
11196272632
12b2288aa6
1365061c48
143b332606
15252c0bd3
hex17e3bc1e

400800798 has 96 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 125621280.

The previous prime is 400800773. The next prime is 400800817. The reversal of 400800798 is 897008004.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557083 + ... + 557801.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2400800798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400800798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478033920).

400800798 is an abundant number, since it is smaller than the sum of its proper divisors (555267042).

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

400800798 is a wasteful number, since it uses less digits than its factorization.

400800798 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 400800798 is about 20020.0099400575. The cubic root of 400800798 is about 737.2976661454.

The spelling of 400800798 in words is "four hundred million, eight hundred thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 31 37 54 62 74 81 93 111 162 186 222 243 279 333 486 558 666 719 837 999 1147 1438 1674 1998 2157 2294 2511 2997 3441 4314 5022 5994 6471 6882 7533 8991 10323 12942 15066 17982 19413 20646 22289 26603 30969 38826 44578 53206 58239 61938 66867 79809 92907 116478 133734 159618 174717 185814 200601 239427 278721 349434 401202 478854 557442 601803 718281 824693 1203606 1436562 1649386 1805409 2154843 2474079 3610818 4309686 4948158 5416227 6464529 7422237 10832454 12929058 14844474 22266711 44533422 66800133 133600266 200400399 400800798