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44485504 = 277131379
BaseRepresentation
bin1010100110110…
…0101110000000
310002201002122021
42221230232000
542342014004
64225251224
71050056230
oct251545600
9102632567
1044485504
1123124688
1212a93b14
1392a73ab
145c9dcc0
153d8ad54
hex2a6cb80

44485504 has 64 divisors (see below), whose sum is σ = 102326400. Its totient is φ = 18869760.

The previous prime is 44485499. The next prime is 44485523. The reversal of 44485504 is 40558444.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×444855042 = 3957920132268032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44485504.

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 7 ways as a sum of consecutive naturals, for example, 117187 + ... + 117565.

It is an arithmetic number, because the mean of its divisors is an integer number (1598850).

Almost surely, 244485504 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 44485504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51163200).

44485504 is an abundant number, since it is smaller than the sum of its proper divisors (57840896).

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

44485504 is a wasteful number, since it uses less digits than its factorization.

44485504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 34.

The square root of 44485504 is about 6669.7454224281. The cubic root of 44485504 is about 354.3285702085.

The spelling of 44485504 in words is "forty-four million, four hundred eighty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 131 224 262 379 448 524 758 896 917 1048 1516 1834 2096 2653 3032 3668 4192 5306 6064 7336 8384 10612 12128 14672 16768 21224 24256 29344 42448 48512 49649 58688 84896 99298 117376 169792 198596 339584 347543 397192 695086 794384 1390172 1588768 2780344 3177536 5560688 6355072 11121376 22242752 44485504