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45057978 = 2337199599
BaseRepresentation
bin1010101111100…
…0011110111010
310010210011221000
42223320132322
543013323403
64245425430
71054662240
oct253703672
9103704830
1045057978
11234857a9
121310b276
139447b34
145dac790
153e507a3
hex2af87ba

45057978 has 64 divisors (see below), whose sum is σ = 115200000. Its totient is φ = 12787632.

The previous prime is 45057977. The next prime is 45057997. The reversal of 45057978 is 87975054.

45057978 is a `hidden beast` number, since 4 + 5 + 0 + 579 + 78 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45057977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74923 + ... + 75521.

It is an arithmetic number, because the mean of its divisors is an integer number (1800000).

Almost surely, 245057978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45057978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57600000).

45057978 is an abundant number, since it is smaller than the sum of its proper divisors (70142022).

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

45057978 is a wasteful number, since it uses less digits than its factorization.

45057978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 45057978 is about 6712.5239664377. The cubic root of 45057978 is about 355.8420216031.

The spelling of 45057978 in words is "forty-five million, fifty-seven thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 199 378 398 597 599 1194 1198 1393 1791 1797 2786 3582 3594 4179 4193 5373 5391 8358 8386 10746 10782 12537 12579 16173 25074 25158 32346 37611 37737 75222 75474 113211 119201 226422 238402 357603 715206 834407 1072809 1668814 2145618 2503221 3218427 5006442 6436854 7509663 15019326 22528989 45057978