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45574312 = 23721929211
BaseRepresentation
bin1010110111011…
…0100010101000
310011202102012111
42231312202220
543131334222
64304452104
71062242500
oct255664250
9104672174
1045574312
11237a8723
121331a034
139598b64
1460a4a00
154003777
hex2b768a8

45574312 has 96 divisors (see below), whose sum is σ = 108756000. Its totient is φ = 17781120.

The previous prime is 45574301. The next prime is 45574313. The reversal of 45574312 is 21347554.

45574312 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 (45574313) 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 23 ways as a sum of consecutive naturals, for example, 215887 + ... + 216097.

It is an arithmetic number, because the mean of its divisors is an integer number (1132875).

Almost surely, 245574312 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 45574312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54378000).

45574312 is an abundant number, since it is smaller than the sum of its proper divisors (63181688).

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

45574312 is a wasteful number, since it uses less digits than its factorization.

45574312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 16800, while the sum is 31.

The square root of 45574312 is about 6750.8749062622. The cubic root of 45574312 is about 357.1960988511.

The spelling of 45574312 in words is "forty-five million, five hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 19 28 29 38 49 56 58 76 98 116 133 152 196 203 211 232 266 392 406 422 532 551 812 844 931 1064 1102 1421 1477 1624 1688 1862 2204 2842 2954 3724 3857 4009 4408 5684 5908 6119 7448 7714 8018 10339 11368 11816 12238 15428 16036 20678 24476 26999 28063 30856 32072 41356 42833 48952 53998 56126 82712 85666 107996 112252 116261 171332 196441 215992 224504 232522 299831 342664 392882 465044 599662 785764 813827 930088 1199324 1571528 1627654 2398648 3255308 5696789 6510616 11393578 22787156 45574312