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44144560 = 245737559
BaseRepresentation
bin1010100001100…
…1011110110000
310002001202221201
42220121132300
542300111220
64214100544
71044136225
oct250313660
9102052851
1044144560
1122a11509
121294a754
1391b8155
145c1194c
153d1ed0a
hex2a197b0

44144560 has 40 divisors (see below), whose sum is σ = 104055840. Its totient is φ = 17413632.

The previous prime is 44144557. The next prime is 44144561. The reversal of 44144560 is 6544144.

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

It is not an unprimeable number, because it can be changed into a prime (44144561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2061 + ... + 9619.

It is an arithmetic number, because the mean of its divisors is an integer number (2601396).

Almost surely, 244144560 is an apocalyptic number.

44144560 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 44144560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52027920).

44144560 is an abundant number, since it is smaller than the sum of its proper divisors (59911280).

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

44144560 is a wasteful number, since it uses less digits than its factorization.

44144560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7645 (or 7639 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 44144560 is about 6644.1372652889. The cubic root of 44144560 is about 353.4210375219.

The spelling of 44144560 in words is "forty-four million, one hundred forty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 7559 15118 30236 37795 60472 75590 120944 151180 302360 551807 604720 1103614 2207228 2759035 4414456 5518070 8828912 11036140 22072280 44144560