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45457116 = 22317443503
BaseRepresentation
bin1010110101100…
…1111011011100
310011112110102220
42231121323130
543114111431
64302145340
71061244015
oct255317334
9104473386
1045457116
1123728671
1213282250
139557703
14607400c
153ecdb96
hex2b59edc

45457116 has 48 divisors (see below), whose sum is σ = 112783104. Its totient is φ = 14200576.

The previous prime is 45457109. The next prime is 45457117. The reversal of 45457116 is 61175454.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45457117) 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, 90121 + ... + 90623.

It is an arithmetic number, because the mean of its divisors is an integer number (2349648).

Almost surely, 245457116 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 45457116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56391552).

45457116 is an abundant number, since it is smaller than the sum of its proper divisors (67325988).

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

45457116 is a wasteful number, since it uses less digits than its factorization.

45457116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 968 counting only the distinct ones).

The product of its digits is 16800, while the sum is 33.

The square root of 45457116 is about 6742.1892586904. The cubic root of 45457116 is about 356.8896551061.

The spelling of 45457116 in words is "forty-five million, four hundred fifty-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 443 503 886 1006 1329 1509 1772 2012 2658 3018 5316 6036 7531 8551 15062 17102 22593 25653 30124 34204 45186 51306 90372 102612 222829 445658 668487 891316 1336974 2673948 3788093 7576186 11364279 15152372 22728558 45457116