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668875392 = 27321930559
BaseRepresentation
bin100111110111100…
…011101010000000
31201121121101112200
4213313203222000
52332213003032
6150212153200
722401230013
oct4767435200
91647541480
10668875392
11313620a89
12168008800
13a8762573
1464b9537a
153dac547c
hex27de3a80

668875392 has 96 divisors (see below), whose sum is σ = 2026128000. Its totient is φ = 211216896.

The previous prime is 668875391. The next prime is 668875393. The reversal of 668875392 is 293578866.

It is a happy number.

668875392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668875391) and next prime (668875393).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (668875391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6609 + ... + 37167.

It is an arithmetic number, because the mean of its divisors is an integer number (21105500).

Almost surely, 2668875392 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 668875392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013064000).

668875392 is an abundant number, since it is smaller than the sum of its proper divisors (1357252608).

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

668875392 is a wasteful number, since it uses less digits than its factorization.

668875392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30598 (or 30583 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 668875392 is about 25862.6253887729. The cubic root of 668875392 is about 874.5441509111.

The spelling of 668875392 in words is "six hundred sixty-eight million, eight hundred seventy-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 288 304 342 384 456 576 608 684 912 1152 1216 1368 1824 2432 2736 3648 5472 7296 10944 21888 30559 61118 91677 122236 183354 244472 275031 366708 488944 550062 580621 733416 977888 1100124 1161242 1466832 1741863 1955776 2200248 2322484 2933664 3483726 3911552 4400496 4644968 5225589 5867328 6967452 8800992 9289936 10451178 11734656 13934904 17601984 18579872 20902356 27869808 35203968 37159744 41804712 55739616 74319488 83609424 111479232 167218848 222958464 334437696 668875392