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801290364 = 223779120749
BaseRepresentation
bin101111110000101…
…011100001111100
32001211202202201220
4233300223201330
53120112242424
6211302233340
725566566340
oct5760534174
92054682656
10801290364
11381342346
121a4425850
13ca015314
14785c3620
154a52e579
hex2fc2b87c

801290364 has 48 divisors (see below), whose sum is σ = 2163840000. Its totient is φ = 226040256.

The previous prime is 801290351. The next prime is 801290417. The reversal of 801290364 is 463092108.

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 15 ways as a sum of consecutive naturals, for example, 53739 + ... + 67010.

It is an arithmetic number, because the mean of its divisors is an integer number (45080000).

Almost surely, 2801290364 is an apocalyptic number.

801290364 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

801290364 is an abundant number, since it is smaller than the sum of its proper divisors (1362549636).

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

801290364 is a wasteful number, since it uses less digits than its factorization.

801290364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120842 (or 120840 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 801290364 is about 28307.0726851082. The cubic root of 801290364 is about 928.8166102091.

The spelling of 801290364 in words is "eight hundred one million, two hundred ninety thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 79 84 158 237 316 474 553 948 1106 1659 2212 3318 6636 120749 241498 362247 482996 724494 845243 1448988 1690486 2535729 3380972 5071458 9539171 10142916 19078342 28617513 38156684 57235026 66774197 114470052 133548394 200322591 267096788 400645182 801290364