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45693102 = 23713531579
BaseRepresentation
bin1010111001001…
…1100010101110
310011222110011010
42232103202232
543144134402
64311210050
71063246020
oct256234256
9104873133
1045693102
11238799a4
1213376926
13960ac50
1460d6010
154028a6c
hex2b938ae

45693102 has 64 divisors (see below), whose sum is σ = 114670080. Its totient is φ = 11816064.

The previous prime is 45693097. The next prime is 45693103. The reversal of 45693102 is 20139654.

It is a self number, because there is not a number n which added to its sum of digits gives 45693102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45693103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28149 + ... + 29727.

It is an arithmetic number, because the mean of its divisors is an integer number (1791720).

Almost surely, 245693102 is an apocalyptic number.

45693102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 45693102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57335040).

45693102 is an abundant number, since it is smaller than the sum of its proper divisors (68976978).

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

45693102 is a wasteful number, since it uses less digits than its factorization.

45693102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 45693102 is about 6759.6672995052. The cubic root of 45693102 is about 357.5061749304.

The spelling of 45693102 in words is "forty-five million, six hundred ninety-three thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 53 78 91 106 159 182 273 318 371 546 689 742 1113 1378 1579 2067 2226 3158 4134 4737 4823 9474 9646 11053 14469 20527 22106 28938 33159 41054 61581 66318 83687 123162 143689 167374 251061 287378 431067 502122 585809 862134 1087931 1171618 1757427 2175862 3263793 3514854 6527586 7615517 15231034 22846551 45693102