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800631864 = 23341772679
BaseRepresentation
bin101111101110001…
…010110000111000
32001210112022110000
4233232022300320
53114430204424
6211240153000
725561154454
oct5756126070
92053468400
10800631864
11380a3262a
121a4168760
13c9b44686
1478491664
154a44e3c9
hex2fb8ac38

800631864 has 80 divisors (see below), whose sum is σ = 2374455600. Its totient is φ = 251175168.

The previous prime is 800631859. The next prime is 800631883. The reversal of 800631864 is 468136008.

It is a happy number.

It is a super-2 number, since 2×8006318642 = 1282022763304228992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25324 + ... + 47355.

It is an arithmetic number, because the mean of its divisors is an integer number (29680695).

Almost surely, 2800631864 is an apocalyptic number.

It is an amenable number.

800631864 is an abundant number, since it is smaller than the sum of its proper divisors (1573823736).

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

800631864 is a wasteful number, since it uses less digits than its factorization.

800631864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72714 (or 72701 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 800631864 is about 28295.4389257350. The cubic root of 800631864 is about 928.5621068120.

The spelling of 800631864 in words is "eight hundred million, six hundred thirty-one thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 72679 145358 218037 290716 436074 581432 654111 872148 1235543 1308222 1744296 1962333 2471086 2616444 3706629 3924666 4942172 5232888 5886999 7413258 7849332 9884344 11119887 11773998 14826516 15698664 22239774 23547996 29653032 33359661 44479548 47095992 66719322 88959096 100078983 133438644 200157966 266877288 400315932 800631864