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45764312 = 231119101271
BaseRepresentation
bin1010111010010…
…0111011011000
310012010001211112
42232210323120
543203424222
64312515452
71063663436
oct256447330
9105101745
1045764312
1123918450
12133abb88
139634499
146113d56
15403ebe2
hex2ba4ed8

45764312 has 64 divisors (see below), whose sum is σ = 99878400. Its totient is φ = 19440000.

The previous prime is 45764311. The next prime is 45764317. The reversal of 45764312 is 21346754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45764311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168737 + ... + 169007.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 245764312 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 45764312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49939200).

45764312 is an abundant number, since it is smaller than the sum of its proper divisors (54114088).

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

45764312 is a wasteful number, since it uses less digits than its factorization.

45764312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 404 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The square root of 45764312 is about 6764.9325199887. The cubic root of 45764312 is about 357.6917959549.

It can be divided in two parts, 4576 and 4312, that added together give a palindrome (8888).

The spelling of 45764312 in words is "forty-five million, seven hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 101 152 202 209 271 404 418 542 808 836 1084 1111 1672 1919 2168 2222 2981 3838 4444 5149 5962 7676 8888 10298 11924 15352 20596 21109 23848 27371 41192 42218 54742 56639 84436 109484 113278 168872 218968 226556 301081 453112 520049 602162 1040098 1204324 2080196 2408648 4160392 5720539 11441078 22882156 45764312