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79112016 = 24321721901
BaseRepresentation
bin1001011011100…
…10011101010000
312111212022021200
410231302131100
5130223041031
611503351200
71650304164
oct455623520
9174768250
1079112016
1140725035
12225b2500
131350c159
14a714ca4
156e2a8e6
hex4b72750

79112016 has 90 divisors (see below), whose sum is σ = 235317342. Its totient is φ = 24806400.

The previous prime is 79111993. The next prime is 79112021. The reversal of 79112016 is 61021197.

It can be written as a sum of positive squares in 3 ways, for example, as 14470416 + 64641600 = 3804^2 + 8040^2 .

It is a super-2 number, since 2×791120162 = 12517422151168512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 40666 + ... + 42566.

Almost surely, 279112016 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 79112016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117658671).

79112016 is an abundant number, since it is smaller than the sum of its proper divisors (156205326).

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

79112016 is a wasteful number, since it uses less digits than its factorization.

79112016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 79112016 is about 8894.4935774894. The cubic root of 79112016 is about 429.2867497863.

The spelling of 79112016 in words is "seventy-nine million, one hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 289 306 408 578 612 816 867 1156 1224 1734 1901 2312 2448 2601 3468 3802 4624 5202 5703 6936 7604 10404 11406 13872 15208 17109 20808 22812 30416 32317 34218 41616 45624 64634 68436 91248 96951 129268 136872 193902 258536 273744 290853 387804 517072 549389 581706 775608 1098778 1163412 1551216 1648167 2197556 2326824 3296334 4395112 4653648 4944501 6592668 8790224 9889002 13185336 19778004 26370672 39556008 79112016