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44428288 = 210431009
BaseRepresentation
bin1010100101111…
…0110000000000
310002121012011011
42221132300000
542333201123
64224130304
71046430352
oct251366000
9102535134
1044428288
11230956a3
1212a66994
139287338
145c870d2
153d78e0d
hex2a5ec00

44428288 has 44 divisors (see below), whose sum is σ = 90968680. Its totient is φ = 21676032.

The previous prime is 44428253. The next prime is 44428343. The reversal of 44428288 is 88282444.

It is a super-2 number, since 2×444282882 = 3947745549221888, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 44428288.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43528 + ... + 44536.

It is an arithmetic number, because the mean of its divisors is an integer number (2067470).

Almost surely, 244428288 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 44428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45484340).

44428288 is an abundant number, since it is smaller than the sum of its proper divisors (46540392).

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

44428288 is a wasteful number, since it uses less digits than its factorization.

44428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1054 counting only the distinct ones).

The product of its digits is 131072, while the sum is 40.

The square root of 44428288 is about 6665.4548231910. The cubic root of 44428288 is about 354.1765958985.

The spelling of 44428288 in words is "forty-four million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1009 1024 1376 2018 2752 4036 5504 8072 11008 16144 22016 32288 43387 44032 64576 86774 129152 173548 258304 347096 516608 694192 1033216 1388384 2776768 5553536 11107072 22214144 44428288