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109664448 = 2633743359
BaseRepresentation
bin1101000100101…
…01100011000000
321122100112100020
412202111203000
5211033230243
614514253440
72501063265
oct642254300
9248315306
10109664448
11569a2583
1230887280
131994870a
14107c926c
159963283
hex68958c0

109664448 has 112 divisors (see below), whose sum is σ = 305775360. Its totient is φ = 34642944.

The previous prime is 109664441. The next prime is 109664449. The reversal of 109664448 is 844466901.

It is not an unprimeable number, because it can be changed into a prime (109664441) 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, 305293 + ... + 305651.

Almost surely, 2109664448 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 109664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887680).

109664448 is an abundant number, since it is smaller than the sum of its proper divisors (196110912).

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

109664448 is a wasteful number, since it uses less digits than its factorization.

109664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 109664448 is about 10472.0794496604. The cubic root of 109664448 is about 478.6542862784.

The spelling of 109664448 in words is "one hundred nine million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 129 148 172 192 222 258 296 344 359 444 516 592 688 718 888 1032 1077 1184 1376 1436 1591 1776 2064 2154 2368 2752 2872 3182 3552 4128 4308 4773 5744 6364 7104 8256 8616 9546 11488 12728 13283 15437 17232 19092 22976 25456 26566 30874 34464 38184 39849 46311 50912 53132 61748 68928 76368 79698 92622 101824 106264 123496 152736 159396 185244 212528 246992 305472 318792 370488 425056 493984 571169 637584 740976 850112 987968 1142338 1275168 1481952 1713507 2284676 2550336 2963904 3427014 4569352 6854028 9138704 13708056 18277408 27416112 36554816 54832224 109664448