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45900625 = 542712
BaseRepresentation
bin1010111100011…
…0001101010001
310012100222211011
42233012031101
543222310000
64315450521
71065102031
oct257061521
9105328734
1045900625
1123a00901
1213456a41
139681544
14614b8c1
15406a2ba
hex2bc6351

45900625 has 15 divisors (see below), whose sum is σ = 57569853. Its totient is φ = 36585000.

The previous prime is 45900583. The next prime is 45900641. The reversal of 45900625 is 52600954.

The square root of 45900625 is 6775.

It is a perfect power (a square), and thus also a powerful number.

45900625 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3598609 + 42302016 = 1897^2 + 6504^2 .

It is not a de Polignac number, because 45900625 - 211 = 45898577 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 169240 + ... + 169510.

Almost surely, 245900625 is an apocalyptic number.

45900625 is the 6775-th square number.

45900625 is the 3388-th centered octagonal number.

It is an amenable number.

45900625 is a deficient number, since it is larger than the sum of its proper divisors (11669228).

45900625 is an frugal number, since it uses more digits than its factorization.

45900625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

The cubic root of 45900625 is about 358.0465826841.

The spelling of 45900625 in words is "forty-five million, nine hundred thousand, six hundred twenty-five".

Divisors: 1 5 25 125 271 625 1355 6775 33875 73441 169375 367205 1836025 9180125 45900625