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45879444 = 22321327541
BaseRepresentation
bin1010111100000…
…1000010010100
310012022220202200
42233001002110
543221120234
64315204500
71064653212
oct257010224
9105286680
1045879444
11239969a6
1213446730
139674a00
146143cb2
154063d99
hex2bc1094

45879444 has 54 divisors (see below), whose sum is σ = 125596926. Its totient is φ = 14114880.

The previous prime is 45879439. The next prime is 45879461. The reversal of 45879444 is 44497854.

It can be written as a sum of positive squares in 3 ways, for example, as 2160900 + 43718544 = 1470^2 + 6612^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45879444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2314 + ... + 9854.

It is an arithmetic number, because the mean of its divisors is an integer number (2325869).

Almost surely, 245879444 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 45879444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62798463).

45879444 is an abundant number, since it is smaller than the sum of its proper divisors (79717482).

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

45879444 is a wasteful number, since it uses less digits than its factorization.

45879444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577 (or 7559 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 45879444 is about 6773.4366461937. The cubic root of 45879444 is about 357.9915002716.

The spelling of 45879444 in words is "forty-five million, eight hundred seventy-nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 7541 15082 22623 30164 45246 67869 90492 98033 135738 196066 271476 294099 392132 588198 882297 1176396 1274429 1764594 2548858 3529188 3823287 5097716 7646574 11469861 15293148 22939722 45879444