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45087966 = 23271132531
BaseRepresentation
bin1010101111111…
…1110011011110
310010211201001200
42223333303132
543020303331
64250220330
71055145540
oct253776336
9103751050
1045087966
11234a6290
12131246a6
139458691
145db9690
153e595e6
hex2affcde

45087966 has 48 divisors (see below), whose sum is σ = 121799808. Its totient is φ = 11710800.

The previous prime is 45087949. The next prime is 45087979. The reversal of 45087966 is 66978054.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14880 + ... + 17651.

It is an arithmetic number, because the mean of its divisors is an integer number (2537496).

Almost surely, 245087966 is an apocalyptic number.

45087966 is an abundant number, since it is smaller than the sum of its proper divisors (76711842).

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

45087966 is a wasteful number, since it uses less digits than its factorization.

45087966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32557 (or 32554 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 45087966 is about 6714.7573299413. The cubic root of 45087966 is about 355.9209467610.

The spelling of 45087966 in words is "forty-five million, eighty-seven thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 32531 65062 97593 195186 227717 292779 357841 455434 585558 683151 715682 1073523 1366302 2049453 2147046 2504887 3220569 4098906 5009774 6441138 7514661 15029322 22543983 45087966