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45731728 = 2472341433
BaseRepresentation
bin1010111001110…
…0111110010000
310012001102010201
42232130332100
543201403403
64312104544
71063466440
oct256347620
9105042121
1045731728
11238a5a19
1213395154
1396226c3
146106120
15403521d
hex2b9cf90

45731728 has 80 divisors (see below), whose sum is σ = 108493056. Its totient is φ = 18247680.

The previous prime is 45731723. The next prime is 45731729. The reversal of 45731728 is 82713754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45731723) 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, 105400 + ... + 105832.

Almost surely, 245731728 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 45731728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54246528).

45731728 is an abundant number, since it is smaller than the sum of its proper divisors (62761328).

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

45731728 is a wasteful number, since it uses less digits than its factorization.

45731728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 506 counting only the distinct ones).

The product of its digits is 47040, while the sum is 37.

The square root of 45731728 is about 6762.5237892373. The cubic root of 45731728 is about 357.6068841086.

The spelling of 45731728 in words is "forty-five million, seven hundred thirty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 41 46 56 82 92 112 161 164 184 287 322 328 368 433 574 644 656 866 943 1148 1288 1732 1886 2296 2576 3031 3464 3772 4592 6062 6601 6928 7544 9959 12124 13202 15088 17753 19918 24248 26404 35506 39836 48496 52808 69713 71012 79672 105616 124271 139426 142024 159344 248542 278852 284048 408319 497084 557704 816638 994168 1115408 1633276 1988336 2858233 3266552 5716466 6533104 11432932 22865864 45731728