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45920916 = 22324013181
BaseRepresentation
bin1010111100101…
…1001010010100
310012102000122200
42233023022110
543223432131
64320124500
71065215136
oct257131224
9105360580
1045920916
1123a15078
1213466730
13968a852
146155056
1540712e6
hex2bcb294

45920916 has 36 divisors (see below), whose sum is σ = 116403924. Its totient is φ = 15264000.

The previous prime is 45920911. The next prime is 45920921. The reversal of 45920916 is 61902954.

45920916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45920911) and next prime (45920921).

It can be written as a sum of positive squares in 2 ways, for example, as 26998416 + 18922500 = 5196^2 + 4350^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (45920911) 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 11 ways as a sum of consecutive naturals, for example, 12846 + ... + 16026.

Almost surely, 245920916 is an apocalyptic number.

It is an amenable number.

45920916 is an abundant number, since it is smaller than the sum of its proper divisors (70483008).

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

45920916 is a wasteful number, since it uses less digits than its factorization.

45920916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45920916 is about 6776.4973253149. The cubic root of 45920916 is about 358.0993347103.

The spelling of 45920916 in words is "forty-five million, nine hundred twenty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 401 802 1203 1604 2406 3181 3609 4812 6362 7218 9543 12724 14436 19086 28629 38172 57258 114516 1275581 2551162 3826743 5102324 7653486 11480229 15306972 22960458 45920916