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790016896 = 2731375381
BaseRepresentation
bin101111000101101…
…011001110000000
32001001120000110001
4233011223032000
53104221020041
6210220445344
725402014154
oct5705531600
92031500401
10790016896
11375a42429
121a06a9854
13c7898c26
1476ccb064
1549554131
hex2f16b380

790016896 has 64 divisors (see below), whose sum is σ = 1668850560. Its totient is φ = 371865600.

The previous prime is 790016893. The next prime is 790016897. The reversal of 790016896 is 698610097.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790016891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144126 + ... + 149506.

It is an arithmetic number, because the mean of its divisors is an integer number (26075790).

Almost surely, 2790016896 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 790016896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834425280).

790016896 is an abundant number, since it is smaller than the sum of its proper divisors (878833664).

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

790016896 is a wasteful number, since it uses less digits than its factorization.

790016896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 46.

The square root of 790016896 is about 28107.2392098548. The cubic root of 790016896 is about 924.4401368827.

The spelling of 790016896 in words is "seven hundred ninety million, sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 128 148 248 296 496 592 992 1147 1184 1984 2294 2368 3968 4588 4736 5381 9176 10762 18352 21524 36704 43048 73408 86096 146816 166811 172192 199097 333622 344384 398194 667244 688768 796388 1334488 1592776 2668976 3185552 5337952 6172007 6371104 10675904 12344014 12742208 21351808 24688028 25484416 49376056 98752112 197504224 395008448 790016896