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44482464 = 2532131092
BaseRepresentation
bin1010100110101…
…1111110100000
310002200221110200
42221223332200
542341414324
64225225200
71050044325
oct251537640
9102627420
1044482464
1123122374
1212a92200
1392a5bb0
145c9cb4c
153d89ec9
hex2a6bfa0

44482464 has 108 divisors (see below), whose sum is σ = 137488806. Its totient is φ = 13561344.

The previous prime is 44482453. The next prime is 44482469. The reversal of 44482464 is 46428444.

44482464 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 3 ways, for example, as 38192400 + 6290064 = 6180^2 + 2508^2 .

It is a super-2 number, since 2×444824642 = 3957379207022592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44482469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 408042 + ... + 408150.

Almost surely, 244482464 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 44482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68744403).

44482464 is an abundant number, since it is smaller than the sum of its proper divisors (93006342).

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

44482464 is a wasteful number, since it uses less digits than its factorization.

44482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 127 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

The square root of 44482464 is about 6669.5175237794. The cubic root of 44482464 is about 354.3204987897.

The spelling of 44482464 in words is "forty-four million, four hundred eighty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 109 117 144 156 208 218 234 288 312 327 416 436 468 624 654 872 936 981 1248 1308 1417 1744 1872 1962 2616 2834 3488 3744 3924 4251 5232 5668 7848 8502 10464 11336 11881 12753 15696 17004 22672 23762 25506 31392 34008 35643 45344 47524 51012 68016 71286 95048 102024 106929 136032 142572 154453 190096 204048 213858 285144 308906 380192 408096 427716 463359 570288 617812 855432 926718 1140576 1235624 1390077 1710864 1853436 2471248 2780154 3421728 3706872 4942496 5560308 7413744 11120616 14827488 22241232 44482464