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44640080 = 2451374073
BaseRepresentation
bin1010101001001…
…0011101010000
310002222221200022
42222102131100
542411440310
64232443012
71051302002
oct252223520
9102887608
1044640080
112321a831
1212b49468
13932c864
145d00372
153dbba55
hex2a92750

44640080 has 40 divisors (see below), whose sum is σ = 104571432. Its totient is φ = 17721344.

The previous prime is 44640073. The next prime is 44640091. The reversal of 44640080 is 8004644.

It can be written as a sum of positive squares in 4 ways, for example, as 868624 + 43771456 = 932^2 + 6616^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 8924 + ... + 12996.

Almost surely, 244640080 is an apocalyptic number.

44640080 is a gapful number since it is divisible by the number (40) 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 44640080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52285716).

44640080 is an abundant number, since it is smaller than the sum of its proper divisors (59931352).

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

44640080 is a wasteful number, since it uses less digits than its factorization.

44640080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4217 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 44640080 is about 6681.3232222367. The cubic root of 44640080 is about 354.7384968300.

The spelling of 44640080 in words is "forty-four million, six hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 4073 5480 8146 10960 16292 20365 32584 40730 65168 81460 162920 325840 558001 1116002 2232004 2790005 4464008 5580010 8928016 11160020 22320040 44640080