Search a number
-
+
44716420 = 22572103443
BaseRepresentation
bin1010101010010…
…1000110000100
310010010211101201
42222211012010
542421411140
64234232244
71052040400
oct252450604
9103124351
1044716420
1123272121
1212b85684
139358528
145d20100
153dd449a
hex2aa5184

44716420 has 72 divisors (see below), whose sum is σ = 110545344. Its totient is φ = 15148224.

The previous prime is 44716417. The next prime is 44716423. The reversal of 44716420 is 2461744.

It is an interprime number because it is at equal distance from previous prime (44716417) and next prime (44716423).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (44716423) 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, 100719 + ... + 101161.

It is an arithmetic number, because the mean of its divisors is an integer number (1535352).

Almost surely, 244716420 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 44716420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55272672).

44716420 is an abundant number, since it is smaller than the sum of its proper divisors (65828924).

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

44716420 is a wasteful number, since it uses less digits than its factorization.

44716420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 44716420 is about 6687.0337220624. The cubic root of 44716420 is about 354.9405970830.

The spelling of 44716420 in words is "forty-four million, seven hundred sixteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 412 443 490 515 721 886 980 1030 1442 1772 2060 2215 2884 3101 3605 4430 5047 6202 7210 8860 10094 12404 14420 15505 20188 21707 25235 31010 43414 45629 50470 62020 86828 91258 100940 108535 182516 217070 228145 319403 434140 456290 638806 912580 1277612 1597015 2235821 3194030 4471642 6388060 8943284 11179105 22358210 44716420