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45511056 = 2432317997
BaseRepresentation
bin1010110110011…
…1000110010000
310011122012102200
42231213012100
543122323211
64303243200
71061560203
oct255470620
9104565380
1045511056
1123765148
12132a9500
139576126
14608993a
153edeb56
hex2b67190

45511056 has 60 divisors (see below), whose sum is σ = 127897692. Its totient is φ = 15107328.

The previous prime is 45511021. The next prime is 45511079. The reversal of 45511056 is 65011554.

It is a happy number.

45511056 is a `hidden beast` number, since 4 + 551 + 105 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19501056 + 26010000 = 4416^2 + 5100^2 .

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, 45150 + ... + 46146.

Almost surely, 245511056 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 45511056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63948846).

45511056 is an abundant number, since it is smaller than the sum of its proper divisors (82386636).

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

45511056 is a wasteful number, since it uses less digits than its factorization.

45511056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 45511056 is about 6746.1882570827. The cubic root of 45511056 is about 357.0307625964.

It can be divided in two parts, 455 and 11056, that added together give a palindrome (11511).

The spelling of 45511056 in words is "forty-five million, five hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 317 634 951 997 1268 1902 1994 2536 2853 2991 3804 3988 5072 5706 5982 7608 7976 8973 11412 11964 15216 15952 17946 22824 23928 35892 45648 47856 71784 143568 316049 632098 948147 1264196 1896294 2528392 2844441 3792588 5056784 5688882 7585176 11377764 15170352 22755528 45511056