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45763368 = 23372111291
BaseRepresentation
bin1010111010010…
…0101100101000
310012010000112120
42232210230220
543203411433
64312511240
71063660620
oct256445450
9105100476
1045763368
1123917772
12133ab520
139633c21
146113880
15403e7b3
hex2ba4b28

45763368 has 64 divisors (see below), whose sum is σ = 131473920. Its totient is φ = 13003200.

The previous prime is 45763351. The next prime is 45763369. The reversal of 45763368 is 86336754.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (45763369) 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, 34803 + ... + 36093.

It is an arithmetic number, because the mean of its divisors is an integer number (2054280).

Almost surely, 245763368 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 45763368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65736960).

45763368 is an abundant number, since it is smaller than the sum of its proper divisors (85710552).

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

45763368 is a wasteful number, since it uses less digits than its factorization.

45763368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 45763368 is about 6764.8627480534. The cubic root of 45763368 is about 357.6893365176.

The spelling of 45763368 in words is "forty-five million, seven hundred sixty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 211 422 633 844 1266 1291 1477 1688 2532 2582 2954 3873 4431 5064 5164 5908 7746 8862 9037 10328 11816 15492 17724 18074 27111 30984 35448 36148 54222 72296 108444 216888 272401 544802 817203 1089604 1634406 1906807 2179208 3268812 3813614 5720421 6537624 7627228 11440842 15254456 22881684 45763368