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45768976 = 2411247503
BaseRepresentation
bin1010111010011…
…0000100010000
310012010022020021
42232212010100
543204101401
64312553224
71064013151
oct256460420
9105108207
1045768976
1123920a00
12133b2814
139636646
146115928
1540412a1
hex2ba6110

45768976 has 60 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 20320960.

The previous prime is 45768959. The next prime is 45769001. The reversal of 45768976 is 67986754.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90741 + ... + 91243.

Almost surely, 245768976 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 45768976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

45768976 is an abundant number, since it is smaller than the sum of its proper divisors (53974640).

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

45768976 is a wasteful number, since it uses less digits than its factorization.

45768976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 563 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 52.

The square root of 45768976 is about 6765.2772300919. The cubic root of 45768976 is about 357.7039467466.

The spelling of 45768976 in words is "forty-five million, seven hundred sixty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 176 188 242 376 484 503 517 752 968 1006 1034 1936 2012 2068 4024 4136 5533 5687 8048 8272 11066 11374 22132 22748 23641 44264 45496 47282 60863 88528 90992 94564 121726 189128 243452 260051 378256 486904 520102 973808 1040204 2080408 2860561 4160816 5721122 11442244 22884488 45768976