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44219808 = 2532532897
BaseRepresentation
bin1010100010101…
…1110110100000
310002012121011200
42220223312200
542310013213
64215441200
71044601503
oct250536640
9102177150
1044219808
1122a62aa6
1212986200
139213489
145c3113a
153d37273
hex2a2bda0

44219808 has 72 divisors (see below), whose sum is σ = 128166948. Its totient is φ = 14456832.

The previous prime is 44219803. The next prime is 44219831. The reversal of 44219808 is 80891244.

It can be written as a sum of positive squares in 2 ways, for example, as 43718544 + 501264 = 6612^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (44219801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13816 + ... + 16712.

Almost surely, 244219808 is an apocalyptic number.

44219808 is a gapful number since it is divisible by the number (48) 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 44219808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64083474).

44219808 is an abundant number, since it is smaller than the sum of its proper divisors (83947140).

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

44219808 is a wasteful number, since it uses less digits than its factorization.

44219808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2955 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 44219808 is about 6649.7975909046. The cubic root of 44219808 is about 353.6217351831.

The spelling of 44219808 in words is "forty-four million, two hundred nineteen thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 72 96 106 144 159 212 288 318 424 477 636 848 954 1272 1696 1908 2544 2897 3816 5088 5794 7632 8691 11588 15264 17382 23176 26073 34764 46352 52146 69528 92704 104292 139056 153541 208584 278112 307082 417168 460623 614164 834336 921246 1228328 1381869 1842492 2456656 2763738 3684984 4913312 5527476 7369968 11054952 14739936 22109904 44219808