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45706068 = 22325932141
BaseRepresentation
bin1010111001011…
…0101101010100
310012000002221100
42232112231110
543200043233
64311350100
71063331562
oct256265524
9105002840
1045706068
1123888711
1213382330
139613b15
1460daa32
15402c813
hex2b96b54

45706068 has 36 divisors (see below), whose sum is σ = 115783668. Its totient is φ = 15202560.

The previous prime is 45706051. The next prime is 45706069. The reversal of 45706068 is 86060754.

It is a happy number.

45706068 is a `hidden beast` number, since 45 + 7 + 0 + 606 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37307664 + 8398404 = 6108^2 + 2898^2 .

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 (45706069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20278 + ... + 22418.

It is an arithmetic number, because the mean of its divisors is an integer number (3216213).

Almost surely, 245706068 is an apocalyptic number.

It is an amenable number.

45706068 is an abundant number, since it is smaller than the sum of its proper divisors (70077600).

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

45706068 is a wasteful number, since it uses less digits than its factorization.

45706068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 45706068 is about 6760.6263023480. The cubic root of 45706068 is about 357.5399873768.

The spelling of 45706068 in words is "forty-five million, seven hundred six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 593 1186 1779 2141 2372 3558 4282 5337 6423 7116 8564 10674 12846 19269 21348 25692 38538 77076 1269613 2539226 3808839 5078452 7617678 11426517 15235356 22853034 45706068