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45364656 = 2433143709
BaseRepresentation
bin1010110100001…
…1010110110000
310011100202121110
42231003112300
543103132111
64300153320
71060410321
oct255032660
9104322543
1045364656
1123675157
1213238840
1395245bc
14604c448
153eb15a6
hex2b435b0

45364656 has 80 divisors (see below), whose sum is σ = 123960320. Its totient is φ = 14273280.

The previous prime is 45364651. The next prime is 45364681. The reversal of 45364656 is 65646354.

It is not an unprimeable number, because it can be changed into a prime (45364651) 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, 63630 + ... + 64338.

It is an arithmetic number, because the mean of its divisors is an integer number (1549504).

Almost surely, 245364656 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 45364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61980160).

45364656 is an abundant number, since it is smaller than the sum of its proper divisors (78595664).

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

45364656 is a wasteful number, since it uses less digits than its factorization.

45364656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 788 counting only the distinct ones).

The product of its digits is 259200, while the sum is 39.

The square root of 45364656 is about 6735.3289451964. The cubic root of 45364656 is about 356.6475190854.

The spelling of 45364656 in words is "forty-five million, three hundred sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 43 48 62 86 93 124 129 172 186 248 258 344 372 496 516 688 709 744 1032 1333 1418 1488 2064 2127 2666 2836 3999 4254 5332 5672 7998 8508 10664 11344 15996 17016 21328 21979 30487 31992 34032 43958 60974 63984 65937 87916 91461 121948 131874 175832 182922 243896 263748 351664 365844 487792 527496 731688 945097 1054992 1463376 1890194 2835291 3780388 5670582 7560776 11341164 15121552 22682328 45364656