Search a number
-
+
45152568 = 2332627119
BaseRepresentation
bin1010110000111…
…1100100111000
310010221222200100
42230033210320
543024340233
64251435400
71055535066
oct254174470
9103858610
1045152568
112353a87a
1213155b60
13947bbc6
145dd5036
153e6d813
hex2b0f938

45152568 has 24 divisors (see below), whose sum is σ = 122288400. Its totient is φ = 15050832.

The previous prime is 45152567. The next prime is 45152593. The reversal of 45152568 is 86525154.

45152568 is a `hidden beast` number, since 45 + 1 + 52 + 568 = 666.

45152568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (45152563) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 313488 + ... + 313631.

It is an arithmetic number, because the mean of its divisors is an integer number (5095350).

Almost surely, 245152568 is an apocalyptic number.

It is an amenable number.

45152568 is an abundant number, since it is smaller than the sum of its proper divisors (77135832).

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

45152568 is a wasteful number, since it uses less digits than its factorization.

45152568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627131 (or 627124 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 45152568 is about 6719.5660574177. The cubic root of 45152568 is about 356.0908533845.

It can be divided in two parts, 4515 and 2568, that multiplied together give a triangular number (11594520 = T4815).

The spelling of 45152568 in words is "forty-five million, one hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 627119 1254238 1881357 2508476 3762714 5016952 5644071 7525428 11288142 15050856 22576284 45152568