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44198064 = 2432319901
BaseRepresentation
bin1010100010011…
…0100010110000
310002011111100100
42220212202300
542303314224
64215152400
71044451221
oct250464260
9102144310
1044198064
1122a48729
1212975700
139206601
145c27248
153d30ac9
hex2a268b0

44198064 has 60 divisors (see below), whose sum is σ = 127696192. Its totient is φ = 14256000.

The previous prime is 44198057. The next prime is 44198087. The reversal of 44198064 is 46089144.

It is a happy number.

It is a super-2 number, since 2×441980642 = 3906937722696192, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 487 + ... + 9414.

Almost surely, 244198064 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 44198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63848096).

44198064 is an abundant number, since it is smaller than the sum of its proper divisors (83498128).

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

44198064 is a wasteful number, since it uses less digits than its factorization.

44198064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9946 (or 9937 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 44198064 is about 6648.1624528888. The cubic root of 44198064 is about 353.5637640911.

The spelling of 44198064 in words is "forty-four million, one hundred ninety-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 9901 19802 29703 39604 59406 79208 89109 118812 158416 178218 237624 306931 356436 475248 613862 712872 920793 1227724 1425744 1841586 2455448 2762379 3683172 4910896 5524758 7366344 11049516 14732688 22099032 44198064