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45418104 = 2333283743
BaseRepresentation
bin1010110101000…
…0011001111000
310011110110221000
42231100121320
543111334404
64301245000
71061022204
oct255203170
9104413830
1045418104
1123701326
1213263760
139542a24
146063b04
153ec2339
hex2b50678

45418104 has 64 divisors (see below), whose sum is σ = 126777600. Its totient is φ = 15065568.

The previous prime is 45418097. The next prime is 45418133. The reversal of 45418104 is 40181454.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60757 + ... + 61499.

It is an arithmetic number, because the mean of its divisors is an integer number (1980900).

Almost surely, 245418104 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 45418104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63388800).

45418104 is an abundant number, since it is smaller than the sum of its proper divisors (81359496).

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

45418104 is a wasteful number, since it uses less digits than its factorization.

45418104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45418104 is about 6739.2955121437. The cubic root of 45418104 is about 356.7875298114.

Adding to 45418104 its reverse (40181454), we get a palindrome (85599558).

The spelling of 45418104 in words is "forty-five million, four hundred eighteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 283 566 743 849 1132 1486 1698 2229 2264 2547 2972 3396 4458 5094 5944 6687 6792 7641 8916 10188 13374 15282 17832 20061 20376 26748 30564 40122 53496 61128 80244 160488 210269 420538 630807 841076 1261614 1682152 1892421 2523228 3784842 5046456 5677263 7569684 11354526 15139368 22709052 45418104