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45414952 = 23111373767
BaseRepresentation
bin1010110100111…
…1101000101000
310011110022121021
42231033220220
543111234302
64301222224
71061010052
oct255175050
9104408537
1045414952
11236a9a20
1213261974
13954146b
1460628d2
153ec1437
hex2b4fa28

45414952 has 32 divisors (see below), whose sum is σ = 93597120. Its totient is φ = 20487040.

The previous prime is 45414931. The next prime is 45414961. The reversal of 45414952 is 25941454.

45414952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 10173 + ... + 13939.

It is an arithmetic number, because the mean of its divisors is an integer number (2924910).

Almost surely, 245414952 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 45414952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46798560).

45414952 is an abundant number, since it is smaller than the sum of its proper divisors (48182168).

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

45414952 is a wasteful number, since it uses less digits than its factorization.

45414952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3917 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 45414952 is about 6739.0616557500. The cubic root of 45414952 is about 356.7792759786.

The spelling of 45414952 in words is "forty-five million, four hundred fourteen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 88 137 274 548 1096 1507 3014 3767 6028 7534 12056 15068 30136 41437 82874 165748 331496 516079 1032158 2064316 4128632 5676869 11353738 22707476 45414952