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45745068 = 223231071549
BaseRepresentation
bin1010111010000…
…0001110101100
310012002002102210
42232200032230
543202320233
64312250420
71063553355
oct256401654
9105062383
1045745068
1123904a46
12133a0a10
1396287b5
14610ad2c
154039163
hex2ba03ac

45745068 has 48 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 14439744.

The previous prime is 45745067. The next prime is 45745099. The reversal of 45745068 is 86054754.

It is a super-2 number, since 2×457450682 = 4185222492649248, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45745067) 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, 28758 + ... + 30306.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 245745068 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 45745068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

45745068 is an abundant number, since it is smaller than the sum of its proper divisors (66747732).

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

45745068 is a wasteful number, since it uses less digits than its factorization.

45745068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 45745068 is about 6763.5100354771. The cubic root of 45745068 is about 357.6416521808.

The spelling of 45745068 in words is "forty-five million, seven hundred forty-five thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 107 138 214 276 321 428 642 1284 1549 2461 3098 4647 4922 6196 7383 9294 9844 14766 18588 29532 35627 71254 106881 142508 165743 213762 331486 427524 497229 662972 994458 1988916 3812089 7624178 11436267 15248356 22872534 45745068