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790251228 = 223413373503
BaseRepresentation
bin101111000110100…
…100011011011100
32001001222220220000
4233012210123130
53104301014403
6210225454300
725404011304
oct5706443334
92031886800
10790251228
11376092498
121a07a1390
13c794b7a0
1476d4c604
154959d7a3
hex2f1a46dc

790251228 has 120 divisors (see below), whose sum is σ = 2235185568. Its totient is φ = 242020224.

The previous prime is 790251223. The next prime is 790251257. The reversal of 790251228 is 822152097.

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

It is a junction number, because it is equal to n+sod(n) for n = 790251192 and 790251201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790251223) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1570825 + ... + 1571327.

Almost surely, 2790251228 is an apocalyptic number.

790251228 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 790251228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117592784).

790251228 is an abundant number, since it is smaller than the sum of its proper divisors (1444934340).

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

790251228 is a wasteful number, since it uses less digits than its factorization.

790251228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 790251228 is about 28111.4074354167. The cubic root of 790251228 is about 924.5315292283.

The spelling of 790251228 in words is "seven hundred ninety million, two hundred fifty-one thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 373 468 503 702 746 1006 1053 1119 1404 1492 1509 2012 2106 2238 3018 3357 4212 4476 4527 4849 6036 6539 6714 9054 9698 10071 13078 13428 13581 14547 18108 19396 19617 20142 26156 27162 29094 30213 39234 40284 40743 43641 54324 58188 58851 60426 78468 81486 87282 117702 120852 130923 162972 174564 176553 187619 235404 261846 353106 375238 392769 523692 529659 562857 706212 750476 785538 1059318 1125714 1571076 1688571 2118636 2251428 2439047 3377142 4878094 5065713 6754284 7317141 9756188 10131426 14634282 15197139 20262852 21951423 29268564 30394278 43902846 60788556 65854269 87805692 131708538 197562807 263417076 395125614 790251228