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44900944 = 24111743349
BaseRepresentation
bin1010101101001…
…0001001010000
310010111012111221
42223102021100
542443312234
64242214424
71053436354
oct253221120
9103435457
1044900944
1123388820
1213054414
1393c150a
145d6b464
153e1deb4
hex2ad2250

44900944 has 80 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 18708480.

The previous prime is 44900929. The next prime is 44900953.

It is a happy number.

44900944 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×449009442 = 4032189544182272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128482 + ... + 128830.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 244900944 is an apocalyptic number.

44900944 is a gapful number since it is divisible by the number (44) 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 44900944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

44900944 is an abundant number, since it is smaller than the sum of its proper divisors (58217456).

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

44900944 is a wasteful number, since it uses less digits than its factorization.

44900944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 44900944 is about 6700.8166666459. The cubic root of 44900944 is about 355.4281523287.

The spelling of 44900944 in words is "forty-four million, nine hundred thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 86 88 136 172 176 187 272 344 349 374 473 688 698 731 748 946 1396 1462 1496 1892 2792 2924 2992 3784 3839 5584 5848 5933 7568 7678 8041 11696 11866 15007 15356 16082 23732 30014 30712 32164 47464 60028 61424 64328 65263 94928 120056 128656 130526 165077 240112 255119 261052 330154 510238 522104 660308 1020476 1044208 1320616 2040952 2641232 2806309 4081904 5612618 11225236 22450472 44900944