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4408913616 = 2432919316411
BaseRepresentation
bin1000001101100101…
…01010111011010000
3102101021011000110220
410012302222323100
533012140213431
62005254153040
7214154101362
oct40662527320
912337130426
104408913616
111962798068
12a30652780
13553564233
142db798d32
151ac0e9b96
hex106caaed0

4408913616 has 80 divisors (see below), whose sum is σ = 11844212160. Its totient is φ = 1411522560.

The previous prime is 4408913611. The next prime is 4408913657. The reversal of 4408913616 is 6163198044.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4408913611) 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, 260451 + ... + 276861.

It is an arithmetic number, because the mean of its divisors is an integer number (148052652).

Almost surely, 24408913616 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 4408913616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5922106080).

4408913616 is an abundant number, since it is smaller than the sum of its proper divisors (7435298544).

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

4408913616 is a wasteful number, since it uses less digits than its factorization.

4408913616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 16638 counting only the distinct ones).

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

The square root of 4408913616 is about 66399.6507219729. The cubic root of 4408913616 is about 1639.7483274325.

The spelling of 4408913616 in words is "four billion, four hundred eight million, nine hundred thirteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 193 232 348 386 464 579 696 772 1158 1392 1544 2316 3088 4632 5597 9264 11194 16411 16791 22388 32822 33582 44776 49233 65644 67164 89552 98466 131288 134328 196932 262576 268656 393864 475919 787728 951838 1427757 1903676 2855514 3167323 3807352 5711028 6334646 7614704 9501969 11422056 12669292 19003938 22844112 25338584 38007876 50677168 76015752 91852367 152031504 183704734 275557101 367409468 551114202 734818936 1102228404 1469637872 2204456808 4408913616