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45676884 = 22311536529
BaseRepresentation
bin1010111000111…
…1100101010100
310011221121220110
42232033211110
543143130014
64311003020
71063150521
oct256174524
9104847813
1045676884
11238687a0
1213369470
139603756
1460d0148
154023d59
hex2b8f954

45676884 has 48 divisors (see below), whose sum is σ = 118480320. Its totient is φ = 13578240.

The previous prime is 45676859. The next prime is 45676889. The reversal of 45676884 is 48867654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45676889) 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, 3732 + ... + 10260.

It is an arithmetic number, because the mean of its divisors is an integer number (2468340).

Almost surely, 245676884 is an apocalyptic number.

45676884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45676884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59240160).

45676884 is an abundant number, since it is smaller than the sum of its proper divisors (72803436).

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

45676884 is a wasteful number, since it uses less digits than its factorization.

45676884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6598 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 45676884 is about 6758.4675777871. The cubic root of 45676884 is about 357.4638729855.

The spelling of 45676884 in words is "forty-five million, six hundred seventy-six thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6529 6996 13058 19587 26116 39174 71819 78348 143638 215457 287276 346037 430914 692074 861828 1038111 1384148 2076222 3806407 4152444 7612814 11419221 15225628 22838442 45676884