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45536656 = 2411243547
BaseRepresentation
bin1010110110110…
…1010110010000
310011200111112211
42231231112100
543124133111
64304001504
71062024634
oct255552620
9104614484
1045536656
1123782400
1213300294
139584989
146094dc4
153ee7521
hex2b6d590

45536656 has 60 divisors (see below), whose sum is σ = 99413776. Its totient is φ = 20180160.

The previous prime is 45536653. The next prime is 45536669. The reversal of 45536656 is 65663554.

It is a happy number.

45536656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45536653) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 82975 + ... + 83521.

Almost surely, 245536656 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 45536656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49706888).

45536656 is an abundant number, since it is smaller than the sum of its proper divisors (53877120).

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

45536656 is a wasteful number, since it uses less digits than its factorization.

45536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 603 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The square root of 45536656 is about 6748.0853580849. The cubic root of 45536656 is about 357.0976933975.

The spelling of 45536656 in words is "forty-five million, five hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 121 172 176 242 344 473 484 547 688 946 968 1094 1892 1936 2188 3784 4376 5203 6017 7568 8752 10406 12034 20812 23521 24068 41624 47042 48136 66187 83248 94084 96272 132374 188168 258731 264748 376336 517462 529496 1034924 1058992 2069848 2846041 4139696 5692082 11384164 22768328 45536656