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45749820 = 22352926293
BaseRepresentation
bin1010111010000…
…1011000111100
310012002022221210
42232201120330
543202443240
64312324420
71063603254
oct256413074
9105068853
1045749820
1123908576
12133a3710
13962a9cc
14610c964
15403a780
hex2ba163c

45749820 has 48 divisors (see below), whose sum is σ = 132521760. Its totient is φ = 11778816.

The previous prime is 45749789. The next prime is 45749857. The reversal of 45749820 is 2894754.

45749820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11407 + ... + 14886.

It is an arithmetic number, because the mean of its divisors is an integer number (2760870).

Almost surely, 245749820 is an apocalyptic number.

It is an amenable number.

45749820 is an abundant number, since it is smaller than the sum of its proper divisors (86771940).

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

45749820 is a wasteful number, since it uses less digits than its factorization.

45749820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26334 (or 26332 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 45749820 is about 6763.8613232384. The cubic root of 45749820 is about 357.6540356963.

The spelling of 45749820 in words is "forty-five million, seven hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 26293 52586 78879 105172 131465 157758 262930 315516 394395 525860 762497 788790 1524994 1577580 2287491 3049988 3812485 4574982 7624970 9149964 11437455 15249940 22874910 45749820