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45021952 = 28712477
BaseRepresentation
bin1010101110111…
…1101100000000
310010201100111201
42223233230000
543011200302
64244550544
71054452223
oct253575400
9103640451
1045021952
1123460728
12130b2454
139434611
145d9d5ba
153e44c87
hex2aefb00

45021952 has 36 divisors (see below), whose sum is σ = 91170576. Its totient is φ = 22184960.

The previous prime is 45021941. The next prime is 45021953. The reversal of 45021952 is 25912054.

45021952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 45021952.

It is not an unprimeable number, because it can be changed into a prime (45021953) 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 3 ways as a sum of consecutive naturals, for example, 16938 + ... + 19414.

It is an arithmetic number, because the mean of its divisors is an integer number (2532516).

Almost surely, 245021952 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 45021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45585288).

45021952 is an abundant number, since it is smaller than the sum of its proper divisors (46148624).

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

45021952 is an equidigital number, since it uses as much as digits as its factorization.

45021952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2564 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 45021952 is about 6709.8399384784. The cubic root of 45021952 is about 355.7471587666.

The spelling of 45021952 in words is "forty-five million, twenty-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 2477 4544 4954 9088 9908 18176 19816 39632 79264 158528 175867 317056 351734 634112 703468 1406936 2813872 5627744 11255488 22510976 45021952