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79316496 = 2434721249
BaseRepresentation
bin1001011101001…
…00011000010000
312112020200210000
410232210120100
5130301111441
611512010000
71652115300
oct456443020
9175220700
1079316496
1140854726
1222690900
131358124c
14a769600
156e6b2b6
hex4ba4610

79316496 has 150 divisors (see below), whose sum is σ = 267258750. Its totient is φ = 22643712.

The previous prime is 79316449. The next prime is 79316513. The reversal of 79316496 is 69461397.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 14288400 = 8064^2 + 3780^2 .

It is a super-2 number, since 2×793164962 = 12582213075436032, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62880 + ... + 64128.

It is an arithmetic number, because the mean of its divisors is an integer number (1781725).

Almost surely, 279316496 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 79316496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133629375).

79316496 is an abundant number, since it is smaller than the sum of its proper divisors (187942254).

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

79316496 is a wasteful number, since it uses less digits than its factorization.

79316496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1261 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 79316496 is about 8905.9809117244. The cubic root of 79316496 is about 429.6562892442.

The spelling of 79316496 in words is "seventy-nine million, three hundred sixteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1249 1296 1323 1512 1764 2268 2352 2498 2646 3024 3528 3747 3969 4536 4996 5292 7056 7494 7938 8743 9072 9992 10584 11241 14988 15876 17486 19984 21168 22482 26229 29976 31752 33723 34972 44964 52458 59952 61201 63504 67446 69944 78687 89928 101169 104916 122402 134892 139888 157374 179856 183603 202338 209832 236061 244804 269784 314748 367206 404676 419664 472122 489608 539568 550809 629496 708183 734412 809352 944244 979216 1101618 1258992 1416366 1468824 1618704 1652427 1888488 2203236 2832732 2937648 3304854 3776976 4406472 4957281 5665464 6609708 8812944 9914562 11330928 13219416 19829124 26438832 39658248 79316496