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45731928 = 23311311557
BaseRepresentation
bin1010111001110…
…1000001011000
310012001102102010
42232131001120
543201410203
64312105520
71063500144
oct256350130
9105042363
1045731928
11238a6090
12133952a0
139622818
146106224
154035303
hex2b9d058

45731928 has 64 divisors (see below), whose sum is σ = 125349120. Its totient is φ = 13788800.

The previous prime is 45731923. The next prime is 45731941. The reversal of 45731928 is 82913754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45731923) 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, 81826 + ... + 82382.

It is an arithmetic number, because the mean of its divisors is an integer number (1958580).

Almost surely, 245731928 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 45731928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62674560).

45731928 is an abundant number, since it is smaller than the sum of its proper divisors (79617192).

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

45731928 is a wasteful number, since it uses less digits than its factorization.

45731928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 884 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 45731928 is about 6762.5385765998. The cubic root of 45731928 is about 357.6074054190.

It can be divided in two parts, 457 and 31928, that added together give a triangular number (32385 = T254).

The spelling of 45731928 in words is "forty-five million, seven hundred thirty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 311 557 622 933 1114 1244 1671 1866 2228 2488 3342 3421 3732 4456 6127 6684 6842 7464 10263 12254 13368 13684 18381 20526 24508 27368 36762 41052 49016 73524 82104 147048 173227 346454 519681 692908 1039362 1385816 1905497 2078724 3810994 4157448 5716491 7621988 11432982 15243976 22865964 45731928