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4080724096 = 27294126813
BaseRepresentation
bin1111001100111010…
…1110100010000000
3101112101121021002111
43303032232202000
531324131132341
61512532025104
7203060403541
oct36316564200
911471537074
104080724096
11180450a459
1295a762194
13500576557
142a9d684c8
1518d3bd681
hexf33ae880

4080724096 has 64 divisors (see below), whose sum is σ = 8615338200. Its totient is φ = 1921884160.

The previous prime is 4080724079. The next prime is 4080724121. The reversal of 4080724096 is 6904270804.

It can be written as a sum of positive squares in 4 ways, for example, as 3017964096 + 1062760000 = 54936^2 + 32600^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138786 + ... + 165598.

Almost surely, 24080724096 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 4080724096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307669100).

4080724096 is an abundant number, since it is smaller than the sum of its proper divisors (4534614104).

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

4080724096 is a wasteful number, since it uses less digits than its factorization.

4080724096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26897 (or 26885 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 4080724096 is about 63880.5455205260. The cubic root of 4080724096 is about 1598.0084721640.

The spelling of 4080724096 in words is "four billion, eighty million, seven hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 328 464 656 928 1189 1312 1856 2378 2624 3712 4756 5248 9512 19024 26813 38048 53626 76096 107252 152192 214504 429008 777577 858016 1099333 1555154 1716032 2198666 3110308 3432064 4397332 6220616 8794664 12441232 17589328 24882464 31880657 35178656 49764928 63761314 70357312 99529856 127522628 140714624 255045256 510090512 1020181024 2040362048 4080724096