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45677682 = 238592
BaseRepresentation
bin1010111000111…
…1110001110010
310011221200000000
42232033301302
543143141212
64311010430
71063153041
oct256176162
9104850000
1045677682
1123869356
1213369a16
139603c1b
1460d0558
1540241dc
hex2b8fc72

45677682 has 54 divisors (see below), whose sum is σ = 104540943. Its totient is φ = 14967828.

The previous prime is 45677659. The next prime is 45677683. The reversal of 45677682 is 28677654.

45677682 is a `hidden beast` number, since 4 + 567 + 7 + 6 + 82 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22838841 + 22838841 = 4779^2 + 4779^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4779.

Its product of digits (564480) is a multiple of the sum of its prime divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45677683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 774169 + ... + 774227.

Almost surely, 245677682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45677682

45677682 is an abundant number, since it is smaller than the sum of its proper divisors (58863261).

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

45677682 is an frugal number, since it uses more digits than its factorization.

45677682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 64 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 45677682 is about 6758.5266145810. The cubic root of 45677682 is about 357.4659546695.

The spelling of 45677682 in words is "forty-five million, six hundred seventy-seven thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 59 81 118 162 177 243 354 486 531 729 1062 1458 1593 2187 3186 3481 4374 4779 6561 6962 9558 10443 13122 14337 20886 28674 31329 43011 62658 86022 93987 129033 187974 258066 281961 387099 563922 774198 845883 1691766 2537649 5075298 7612947 15225894 22838841 45677682