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45742590 = 2335191887
BaseRepresentation
bin1010111001111…
…1100111111110
310012001222001000
42232133213332
543202230330
64312231130
71063543215
oct256374776
9105058030
1045742590
11239030a3
121339b4a6
13962762a
14610a07c
154038560
hex2b9f9fe

45742590 has 64 divisors (see below), whose sum is σ = 122757120. Its totient is φ = 12120480.

The previous prime is 45742589. The next prime is 45742601. The reversal of 45742590 is 9524754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51127 + ... + 52013.

It is an arithmetic number, because the mean of its divisors is an integer number (1918080).

Almost surely, 245742590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45742590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61378560).

45742590 is an abundant number, since it is smaller than the sum of its proper divisors (77014530).

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

45742590 is a wasteful number, since it uses less digits than its factorization.

45742590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 45742590 is about 6763.3268440909. The cubic root of 45742590 is about 357.6351942750.

The spelling of 45742590 in words is "forty-five million, seven hundred forty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 191 270 382 573 887 955 1146 1719 1774 1910 2661 2865 3438 4435 5157 5322 5730 7983 8595 8870 10314 13305 15966 17190 23949 25785 26610 39915 47898 51570 79830 119745 169417 239490 338834 508251 847085 1016502 1524753 1694170 2541255 3049506 4574259 5082510 7623765 9148518 15247530 22871295 45742590