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868906332 = 223374326729
BaseRepresentation
bin110011110010100…
…111010101011100
32020120000000102000
4303302213111130
53234420000312
6222115402300
730350403420
oct6362472534
92216000360
10868906332
11406525208
12202bb3390
1310b02a978
1483584b80
1551438adc
hex33ca755c

868906332 has 96 divisors (see below), whose sum is σ = 2634508800. Its totient is φ = 242476416.

The previous prime is 868906319. The next prime is 868906361. The reversal of 868906332 is 233609868.

868906332 is a `hidden beast` number, since 8 + 6 + 8 + 9 + 0 + 633 + 2 = 666.

It is a hoax number, since the sum of its digits (45) 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19144 + ... + 45872.

It is an arithmetic number, because the mean of its divisors is an integer number (27442800).

Almost surely, 2868906332 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 868906332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317254400).

868906332 is an abundant number, since it is smaller than the sum of its proper divisors (1765602468).

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

868906332 is a wasteful number, since it uses less digits than its factorization.

868906332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26792 (or 26784 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 868906332 is about 29477.2171685185. The cubic root of 868906332 is about 954.2400803943.

The spelling of 868906332 in words is "eight hundred sixty-eight million, nine hundred six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 54 63 84 86 108 126 129 172 189 252 258 301 378 387 516 602 756 774 903 1161 1204 1548 1806 2322 2709 3612 4644 5418 8127 10836 16254 26729 32508 53458 80187 106916 160374 187103 240561 320748 374206 481122 561309 721683 748412 962244 1122618 1149347 1443366 1683927 2245236 2298694 2886732 3367854 3448041 4597388 5051781 6735708 6896082 8045429 10103562 10344123 13792164 16090858 20207124 20688246 24136287 31032369 32181716 41376492 48272574 62064738 72408861 96545148 124129476 144817722 217226583 289635444 434453166 868906332