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45674046 = 23211389593
BaseRepresentation
bin1010111000111…
…0111000111110
310011221111000100
42232032320332
543143032141
64310541530
71063136325
oct256167076
9104844010
1045674046
1123866650
12133678a6
139602382
1460cd0bc
1540230b6
hex2b8ee3e

45674046 has 48 divisors (see below), whose sum is σ = 108416880. Its totient is φ = 13781760.

The previous prime is 45674039. The next prime is 45674047. The reversal of 45674046 is 64047654.

It is a super-2 number, since 2×456740462 = 4172236956020232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 45674046.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45674047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76726 + ... + 77318.

It is an arithmetic number, because the mean of its divisors is an integer number (2258685).

Almost surely, 245674046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45674046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54208440).

45674046 is an abundant number, since it is smaller than the sum of its proper divisors (62742834).

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

45674046 is a wasteful number, since it uses less digits than its factorization.

45674046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 45674046 is about 6758.2576156876. The cubic root of 45674046 is about 357.4564695070.

The spelling of 45674046 in words is "forty-five million, six hundred seventy-four thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 389 593 778 1167 1186 1779 2334 3501 3558 4279 5337 6523 7002 8558 10674 12837 13046 19569 25674 38511 39138 58707 77022 117414 230677 461354 692031 1384062 2076093 2537447 4152186 5074894 7612341 15224682 22837023 45674046