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45508896 = 2532158017
BaseRepresentation
bin1010110110011…
…0100100100000
310011122002110200
42231212210200
543122241041
64303225200
71061550666
oct255464440
9104562420
1045508896
1123763564
12132a8200
139575154
146088c36
153ede1b6
hex2b66920

45508896 has 36 divisors (see below), whose sum is σ = 129416742. Its totient is φ = 15169536.

The previous prime is 45508891. The next prime is 45508901. The reversal of 45508896 is 69880554.

45508896 is a `hidden beast` number, since 4 + 550 + 8 + 8 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (45508891) and next prime (45508901).

It can be written as a sum of positive squares in only one way, i.e., 36723600 + 8785296 = 6060^2 + 2964^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45508891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 78721 + ... + 79296.

Almost surely, 245508896 is an apocalyptic number.

It is an amenable number.

45508896 is an abundant number, since it is smaller than the sum of its proper divisors (83907846).

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

45508896 is a wasteful number, since it uses less digits than its factorization.

45508896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158033 (or 158022 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 45508896 is about 6746.0281647796. The cubic root of 45508896 is about 357.0251141620.

The spelling of 45508896 in words is "forty-five million, five hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158017 316034 474051 632068 948102 1264136 1422153 1896204 2528272 2844306 3792408 5056544 5688612 7584816 11377224 15169632 22754448 45508896