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45375312 = 2431723271
BaseRepresentation
bin1010110100010…
…1111101010000
310011101022020010
42231011331100
543104002222
64300314520
71060453353
oct255057520
9104338203
1045375312
1123682164
1213242a40
1395293c8
14605229a
153eb480c
hex2b45f50

45375312 has 60 divisors (see below), whose sum is σ = 124558496. Its totient is φ = 14231040.

The previous prime is 45375269. The next prime is 45375313. The reversal of 45375312 is 21357354.

45375312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45375312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45375313) 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, 12237 + ... + 15507.

Almost surely, 245375312 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 45375312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62279248).

45375312 is an abundant number, since it is smaller than the sum of its proper divisors (79183184).

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

45375312 is a wasteful number, since it uses less digits than its factorization.

45375312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3293 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 45375312 is about 6736.1199514260. The cubic root of 45375312 is about 356.6754419867.

The spelling of 45375312 in words is "forty-five million, three hundred seventy-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3271 3468 4624 6542 6936 9813 13084 13872 19626 26168 39252 52336 55607 78504 111214 157008 166821 222428 333642 444856 667284 889712 945319 1334568 1890638 2669136 2835957 3781276 5671914 7562552 11343828 15125104 22687656 45375312