Search a number
-
+
44485728 = 25374193
BaseRepresentation
bin1010100110110…
…0110001100000
310002201002221120
42221230301200
542342020403
64225252240
71050060000
oct251546140
9102632846
1044485728
1123124871
1212a94080
1392a7521
145ca0000
153d8ae53
hex2a6cc60

44485728 has 120 divisors (see below), whose sum is σ = 136935288. Its totient is φ = 12644352.

The previous prime is 44485717. The next prime is 44485757. The reversal of 44485728 is 82758444.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 44485728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230400 + ... + 230592.

Almost surely, 244485728 is an apocalyptic number.

44485728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44485728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68467644).

44485728 is an abundant number, since it is smaller than the sum of its proper divisors (92449560).

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

44485728 is an equidigital number, since it uses as much as digits as its factorization.

44485728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its digits is 286720, while the sum is 42.

The square root of 44485728 is about 6669.7622146520. The cubic root of 44485728 is about 354.3291649300.

The spelling of 44485728 in words is "forty-four million, four hundred eighty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 193 196 224 294 336 343 386 392 579 588 672 686 772 784 1029 1158 1176 1351 1372 1544 1568 2058 2316 2352 2401 2702 2744 3088 4053 4116 4632 4704 4802 5404 5488 6176 7203 8106 8232 9264 9457 9604 10808 10976 14406 16212 16464 18528 18914 19208 21616 28371 28812 32424 32928 37828 38416 43232 56742 57624 64848 66199 75656 76832 113484 115248 129696 132398 151312 198597 226968 230496 264796 302624 397194 453936 463393 529592 794388 907872 926786 1059184 1390179 1588776 1853572 2118368 2780358 3177552 3707144 5560716 6355104 7414288 11121432 14828576 22242864 44485728