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764134152 = 233232139433
BaseRepresentation
bin101101100010111…
…100001100001000
31222020212000222220
4231202330030020
53031104243102
6203454014040
724636014235
oct5542741410
91866760886
10764134152
11362374331
12193aa7320
13c2405cb2
14736b078c
15471401bc
hex2d8bc308

764134152 has 96 divisors (see below), whose sum is σ = 2016016800. Its totient is φ = 241325568.

The previous prime is 764134103. The next prime is 764134199. The reversal of 764134152 is 251431467.

It is a hoax number, since the sum of its digits (33) 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764528 + ... + 1764960.

It is an arithmetic number, because the mean of its divisors is an integer number (21000175).

Almost surely, 2764134152 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 764134152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008008400).

764134152 is an abundant number, since it is smaller than the sum of its proper divisors (1251882648).

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

764134152 is a wasteful number, since it uses less digits than its factorization.

764134152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 600 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 764134152 is about 27642.9765401630. The cubic root of 764134152 is about 914.2322491708.

The spelling of 764134152 in words is "seven hundred sixty-four million, one hundred thirty-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 139 184 276 278 417 433 529 552 556 834 866 1058 1112 1299 1587 1668 1732 2116 2598 3174 3197 3336 3464 4232 5196 6348 6394 9591 9959 10392 12696 12788 19182 19918 25576 29877 38364 39836 59754 60187 73531 76728 79672 119508 120374 147062 180561 220593 229057 239016 240748 294124 361122 441186 458114 481496 588248 687171 722244 882372 916228 1374342 1384301 1444488 1764744 1832456 2748684 2768602 4152903 5497368 5537204 8305806 11074408 16611612 31838923 33223224 63677846 95516769 127355692 191033538 254711384 382067076 764134152