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2408097696 = 253194330703
BaseRepresentation
bin1000111110001000…
…1010011110100000
320012211021001000120
42033202022132200
514412433111241
61034541520240
7113450330664
oct21742123640
96184231016
102408097696
111026343494
12572573080
132c4b926a4
1418bb6a8a4
15e1625666
hex8f88a7a0

2408097696 has 96 divisors (see below), whose sum is σ = 6808919040. Its totient is φ = 742742784.

The previous prime is 2408097691. The next prime is 2408097709. The reversal of 2408097696 is 6967908042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2408097691) 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, 63081 + ... + 93783.

It is an arithmetic number, because the mean of its divisors is an integer number (70926240).

Almost surely, 22408097696 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 2408097696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3404459520).

2408097696 is an abundant number, since it is smaller than the sum of its proper divisors (4400821344).

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

2408097696 is a wasteful number, since it uses less digits than its factorization.

2408097696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30778 (or 30770 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The square root of 2408097696 is about 49072.3720233697. The cubic root of 2408097696 is about 1340.3700054940.

The spelling of 2408097696 in words is "two billion, four hundred eight million, ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 43 48 57 76 86 96 114 129 152 172 228 258 304 344 456 516 608 688 817 912 1032 1376 1634 1824 2064 2451 3268 4128 4902 6536 9804 13072 19608 26144 30703 39216 61406 78432 92109 122812 184218 245624 368436 491248 583357 736872 982496 1166714 1320229 1473744 1750071 2333428 2640458 2947488 3500142 3960687 4666856 5280916 7000284 7921374 9333712 10561832 14000568 15842748 18667424 21123664 25084351 28001136 31685496 42247328 50168702 56002272 63370992 75253053 100337404 126741984 150506106 200674808 301012212 401349616 602024424 802699232 1204048848 2408097696