Search a number
-
+
45577068 = 22317317207
BaseRepresentation
bin1010110111011…
…1001101101100
310011202112222120
42231313031230
543131431233
64304512540
71062253515
oct255671554
9104675876
1045577068
11237aa7a9
121331b750
13959a1a4
1460a5a0c
1540044b3
hex2b7736c

45577068 has 48 divisors (see below), whose sum is σ = 116250624. Its totient is φ = 13835520.

The previous prime is 45577057. The next prime is 45577079. The reversal of 45577068 is 86077554.

It is an interprime number because it is at equal distance from previous prime (45577057) and next prime (45577079).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2721 + ... + 9927.

It is an arithmetic number, because the mean of its divisors is an integer number (2421888).

Almost surely, 245577068 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 45577068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58125312).

45577068 is an abundant number, since it is smaller than the sum of its proper divisors (70673556).

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

45577068 is a wasteful number, since it uses less digits than its factorization.

45577068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7262 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 42.

The square root of 45577068 is about 6751.0790248671. The cubic root of 45577068 is about 357.2032989057.

The spelling of 45577068 in words is "forty-five million, five hundred seventy-seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 204 372 527 1054 1581 2108 3162 6324 7207 14414 21621 28828 43242 86484 122519 223417 245038 367557 446834 490076 670251 735114 893668 1340502 1470228 2681004 3798089 7596178 11394267 15192356 22788534 45577068