Search a number
-
+
45116656 = 2413316997
BaseRepresentation
bin1010110000011…
…0110011110000
310010220011102021
42230012303300
543022213111
64251001224
71055325304
oct254066360
9103804367
1045116656
11235158a2
1213139214
139468760
145dc5d04
153e62d71
hex2b06cf0

45116656 has 40 divisors (see below), whose sum is σ = 97188224. Its totient is φ = 20148480.

The previous prime is 45116641. The next prime is 45116671. The reversal of 45116656 is 65661154.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45116641) and next prime (45116671).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2950 + ... + 9946.

Almost surely, 245116656 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 45116656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48594112).

45116656 is an abundant number, since it is smaller than the sum of its proper divisors (52071568).

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

45116656 is a wasteful number, since it uses less digits than its factorization.

45116656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7049 (or 7043 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 45116656 is about 6716.8933295088. The cubic root of 45116656 is about 355.9964229746.

The spelling of 45116656 in words is "forty-five million, one hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 6997 13994 27988 55976 90961 111952 181922 216907 363844 433814 727688 867628 1455376 1735256 2819791 3470512 5639582 11279164 22558328 45116656