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766742472 = 233210649201
BaseRepresentation
bin101101101100111…
…000111111001000
31222102202112221100
4231230320333020
53032241224342
6204025541400
725000126536
oct5554707710
91872675840
10766742472
11363895a71
12194944860
13c2b0a292
1473b8d156
15474a7e4c
hex2db38fc8

766742472 has 24 divisors (see below), whose sum is σ = 2076594390. Its totient is φ = 255580800.

The previous prime is 766742441. The next prime is 766742491. The reversal of 766742472 is 274247667.

It can be written as a sum of positive squares in only one way, i.e., 500595876 + 266146596 = 22374^2 + 16314^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 5324529 + ... + 5324672.

Almost surely, 2766742472 is an apocalyptic number.

766742472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

766742472 is an abundant number, since it is smaller than the sum of its proper divisors (1309851918).

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

766742472 is a wasteful number, since it uses less digits than its factorization.

766742472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10649213 (or 10649206 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 766742472 is about 27690.1150593492. The cubic root of 766742472 is about 915.2712910513.

The spelling of 766742472 in words is "seven hundred sixty-six million, seven hundred forty-two thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10649201 21298402 31947603 42596804 63895206 85193608 95842809 127790412 191685618 255580824 383371236 766742472