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45149256 = 2332627073
BaseRepresentation
bin1010110000111…
…0110001001000
310010221211010200
42230032301020
543024234011
64251412200
71055522325
oct254166110
9103854120
1045149256
1123538339
1213154060
13947a549
145dd3b4c
153e6c856
hex2b0ec48

45149256 has 24 divisors (see below), whose sum is σ = 122279430. Its totient is φ = 15049728.

The previous prime is 45149243. The next prime is 45149257. The reversal of 45149256 is 65294154.

45149256 is a `hidden beast` number, since 4 + 514 + 92 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 33246756 + 11902500 = 5766^2 + 3450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45149256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45149257) 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, 313465 + ... + 313608.

Almost surely, 245149256 is an apocalyptic number.

It is an amenable number.

45149256 is an abundant number, since it is smaller than the sum of its proper divisors (77130174).

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

45149256 is a wasteful number, since it uses less digits than its factorization.

45149256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627085 (or 627078 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 45149256 is about 6719.3196084127. The cubic root of 45149256 is about 356.0821465948.

The spelling of 45149256 in words is "forty-five million, one hundred forty-nine thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 627073 1254146 1881219 2508292 3762438 5016584 5643657 7524876 11287314 15049752 22574628 45149256