Search a number
-
+
45705056 = 254730389
BaseRepresentation
bin1010111001011…
…0011101100000
310012000001112212
42232112131200
543200030211
64311341252
71063325615
oct256263540
9105001485
1045705056
1123887981
1213381828
139613517
1460da50c
15402c38b
hex2b96760

45705056 has 24 divisors (see below), whose sum is σ = 91899360. Its totient is φ = 22365568.

The previous prime is 45705053. The next prime is 45705091. The reversal of 45705056 is 65050754.

It is a happy number.

45705056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45705053) 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, 13691 + ... + 16698.

It is an arithmetic number, because the mean of its divisors is an integer number (3829140).

Almost surely, 245705056 is an apocalyptic number.

It is an amenable number.

45705056 is an abundant number, since it is smaller than the sum of its proper divisors (46194304).

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

45705056 is a wasteful number, since it uses less digits than its factorization.

45705056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30446 (or 30438 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 32.

The square root of 45705056 is about 6760.5514567970. The cubic root of 45705056 is about 357.5373485358.

The spelling of 45705056 in words is "forty-five million, seven hundred five thousand, fifty-six".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 30389 60778 121556 243112 486224 972448 1428283 2856566 5713132 11426264 22852528 45705056