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764662968 = 233223557829
BaseRepresentation
bin101101100100111…
…101010010111000
31222021211220101200
4231210331102320
53031223203333
6203513214200
724643346046
oct5544752270
91867756350
10764662968
113626a5673
12194101360
13c255c8c4
14737ab396
15471e6c13
hex2d93d4b8

764662968 has 96 divisors (see below), whose sum is σ = 2167495200. Its totient is φ = 243074304.

The previous prime is 764662963. The next prime is 764662973. The reversal of 764662968 is 869266467.

764662968 is a `hidden beast` number, since 7 + 6 + 4 + 6 + 629 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (764662963) and next prime (764662973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764662963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921978 + ... + 922806.

It is an arithmetic number, because the mean of its divisors is an integer number (22578075).

Almost surely, 2764662968 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 764662968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083747600).

764662968 is an abundant number, since it is smaller than the sum of its proper divisors (1402832232).

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

764662968 is a wasteful number, since it uses less digits than its factorization.

764662968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1421 (or 1414 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 764662968 is about 27652.5399918344. The cubic root of 764662968 is about 914.4430974697.

The spelling of 764662968 in words is "seven hundred sixty-four million, six hundred sixty-two thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 557 828 829 1114 1656 1658 1671 2228 2487 3316 3342 4456 4974 5013 6632 6684 7461 9948 10026 12811 13368 14922 19067 19896 20052 25622 29844 38134 38433 40104 51244 57201 59688 76268 76866 102488 114402 115299 152536 153732 171603 228804 230598 307464 343206 457608 461196 461753 686412 922392 923506 1372824 1385259 1847012 2770518 3694024 4155777 5541036 8311554 10620319 11082072 16623108 21240638 31860957 33246216 42481276 63721914 84962552 95582871 127443828 191165742 254887656 382331484 764662968