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45240492 = 223113759157
BaseRepresentation
bin1010110010010…
…1000010101100
310011010110021210
42230211002230
543040143432
64253354420
71056352323
oct254450254
9104113253
1045240492
112359a940
1213198a10
1394acc2b
1460190ba
153e898cc
hex2b250ac

45240492 has 96 divisors (see below), whose sum is σ = 121040640. Its totient is φ = 13029120.

The previous prime is 45240479. The next prime is 45240499. The reversal of 45240492 is 29404254.

It is not an unprimeable number, because it can be changed into a prime (45240499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288078 + ... + 288234.

It is an arithmetic number, because the mean of its divisors is an integer number (1260840).

Almost surely, 245240492 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 45240492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60520320).

45240492 is an abundant number, since it is smaller than the sum of its proper divisors (75800148).

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

45240492 is a wasteful number, since it uses less digits than its factorization.

45240492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45240492 is about 6726.1052623342. The cubic root of 45240492 is about 356.3218378982.

The spelling of 45240492 in words is "forty-five million, two hundred forty thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 59 66 74 111 118 132 148 157 177 222 236 314 354 407 444 471 628 649 708 814 942 1221 1298 1628 1727 1884 1947 2183 2442 2596 3454 3894 4366 4884 5181 5809 6549 6908 7788 8732 9263 10362 11618 13098 17427 18526 20724 23236 24013 26196 27789 34854 37052 48026 55578 63899 69708 72039 96052 101893 111156 127798 144078 191697 203786 255596 288156 305679 342731 383394 407572 611358 685462 766788 1028193 1222716 1370924 2056386 3770041 4112772 7540082 11310123 15080164 22620246 45240492