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45282264 = 23359113283
BaseRepresentation
bin1010110010111…
…1001111011000
310011012120120220
42230233033120
543043013024
64254320040
71056615156
oct254571730
9104176526
1045282264
1123619265
12131b9020
1394c5c51
14602a3d6
153e96e79
hex2b2f3d8

45282264 has 64 divisors (see below), whose sum is σ = 116553600. Its totient is φ = 14654976.

The previous prime is 45282257. The next prime is 45282269. The reversal of 45282264 is 46228254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45282269) 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, 159867 + ... + 160149.

It is an arithmetic number, because the mean of its divisors is an integer number (1821150).

Almost surely, 245282264 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 45282264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58276800).

45282264 is an abundant number, since it is smaller than the sum of its proper divisors (71271336).

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

45282264 is a wasteful number, since it uses less digits than its factorization.

45282264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 460 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 45282264 is about 6729.2097604399. The cubic root of 45282264 is about 356.4314719632.

The spelling of 45282264 in words is "forty-five million, two hundred eighty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 59 113 118 177 226 236 283 339 354 452 472 566 678 708 849 904 1132 1356 1416 1698 2264 2712 3396 6667 6792 13334 16697 20001 26668 31979 33394 40002 50091 53336 63958 66788 80004 95937 100182 127916 133576 160008 191874 200364 255832 383748 400728 767496 1886761 3773522 5660283 7547044 11320566 15094088 22641132 45282264