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790426116 = 2232372572309
BaseRepresentation
bin101111000111001…
…111001000000100
32001002022210210100
4233013033020010
53104322113431
6210233324100
725405340214
oct5707171004
92032283710
10790426116
113761a1927
121a0866630
13c79b027c
1476d96244
15495d54e6
hex2f1cf204

790426116 has 72 divisors (see below), whose sum is σ = 2060898840. Its totient is φ = 255246336.

The previous prime is 790426111. The next prime is 790426121. The reversal of 790426116 is 611624097.

It is an interprime number because it is at equal distance from previous prime (790426111) and next prime (790426121).

It can be written as a sum of positive squares in 4 ways, for example, as 648720900 + 141705216 = 25470^2 + 11904^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (790426111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 341170 + ... + 343478.

It is an arithmetic number, because the mean of its divisors is an integer number (28623595).

Almost surely, 2790426116 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 790426116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030449420).

790426116 is an abundant number, since it is smaller than the sum of its proper divisors (1270472724).

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

790426116 is a wasteful number, since it uses less digits than its factorization.

790426116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2613 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 790426116 is about 28114.5178866720. The cubic root of 790426116 is about 924.5997259140.

It can be divided in two parts, 79042 and 6116, that added together give a palindrome (85158).

The spelling of 790426116 in words is "seven hundred ninety million, four hundred twenty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 257 333 444 514 666 771 1028 1332 1542 2309 2313 3084 4618 4626 6927 9236 9252 9509 13854 19018 20781 27708 28527 38036 41562 57054 83124 85433 85581 114108 170866 171162 256299 341732 342324 512598 593413 768897 1025196 1186826 1537794 1780239 2373652 3075588 3560478 5340717 7120956 10681434 21362868 21956281 43912562 65868843 87825124 131737686 197606529 263475372 395213058 790426116