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44049768 = 2337793319
BaseRepresentation
bin1010100000001…
…0010101101000
310001212221220220
42220002111220
542234043033
64212050040
71043262660
oct250022550
9101787826
1044049768
1122957274
1212903920
139183c69
145bc91a0
153d01bb3
hex2a02568

44049768 has 64 divisors (see below), whose sum is σ = 127488000. Its totient is φ = 12422592.

The previous prime is 44049767. The next prime is 44049781. The reversal of 44049768 is 86794044.

It is a Cunningham number, because it is equal to 66372-1.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (44049767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11613 + ... + 14931.

It is an arithmetic number, because the mean of its divisors is an integer number (1992000).

Almost surely, 244049768 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 44049768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63744000).

44049768 is an abundant number, since it is smaller than the sum of its proper divisors (83438232).

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

44049768 is a wasteful number, since it uses less digits than its factorization.

44049768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 44049768 is about 6636.9999246648. Note that the first 4 decimals coincide. The cubic root of 44049768 is about 353.1678882098.

The spelling of 44049768 in words is "forty-four million, forty-nine thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 474 553 632 948 1106 1659 1896 2212 3318 3319 4424 6636 6638 9957 13272 13276 19914 23233 26552 39828 46466 69699 79656 92932 139398 185864 262201 278796 524402 557592 786603 1048804 1573206 1835407 2097608 3146412 3670814 5506221 6292824 7341628 11012442 14683256 22024884 44049768