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4408993104 = 243313478539
BaseRepresentation
bin1000001101100101…
…11110010101010000
3102101021022001111220
410012302332111100
533012200234404
62005300005040
7214154552205
oct40662762520
912337261456
104408993104
11196284185a
12a30690780
13553591479
142db7b9cac
151ac1134d9
hex106cbe550

4408993104 has 80 divisors (see below), whose sum is σ = 11792578560. Its totient is φ = 1417991040.

The previous prime is 4408993093. The next prime is 4408993133. The reversal of 4408993104 is 4013998044.

It is a super-2 number, since 2×44089931042 = 38878440382239109632, which contains 22 as substring.

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, 512067 + ... + 520605.

It is an arithmetic number, because the mean of its divisors is an integer number (147407232).

Almost surely, 24408993104 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 4408993104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896289280).

4408993104 is an abundant number, since it is smaller than the sum of its proper divisors (7383585456).

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

4408993104 is a wasteful number, since it uses less digits than its factorization.

4408993104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8928 (or 8922 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4408993104 is about 66400.2492766405. The cubic root of 4408993104 is about 1639.7581816765.

The spelling of 4408993104 in words is "four billion, four hundred eight million, nine hundred ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 347 372 496 694 744 1041 1388 1488 2082 2776 4164 5552 8328 8539 10757 16656 17078 21514 25617 32271 34156 43028 51234 64542 68312 86056 102468 129084 136624 172112 204936 258168 264709 409872 516336 529418 794127 1058836 1588254 2117672 2963033 3176508 4235344 5926066 6353016 8889099 11852132 12706032 17778198 23704264 35556396 47408528 71112792 91854023 142225584 183708046 275562069 367416092 551124138 734832184 1102248276 1469664368 2204496552 4408993104