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45764768 = 2571910753
BaseRepresentation
bin1010111010010…
…1000010100000
310012010002110102
42232211002200
543203433033
64312521532
71063664660
oct256450240
9105102412
1045764768
1123918825
12133b02a8
13963475a
1461141a0
15403ede8
hex2ba50a0

45764768 has 48 divisors (see below), whose sum is σ = 108400320. Its totient is φ = 18579456.

The previous prime is 45764767. The next prime is 45764783. The reversal of 45764768 is 86746754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45764767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121 + ... + 9632.

It is an arithmetic number, because the mean of its divisors is an integer number (2258340).

Almost surely, 245764768 is an apocalyptic number.

It is an amenable number.

45764768 is an abundant number, since it is smaller than the sum of its proper divisors (62635552).

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

45764768 is a wasteful number, since it uses less digits than its factorization.

45764768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10789 (or 10781 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 47.

The square root of 45764768 is about 6764.9662231234. The cubic root of 45764768 is about 357.6929839761.

The spelling of 45764768 in words is "forty-five million, seven hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 10753 21506 43012 75271 86024 150542 172048 204307 301084 344096 408614 602168 817228 1204336 1430149 1634456 2408672 2860298 3268912 5720596 6537824 11441192 22882384 45764768