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80311616 = 2671143379
BaseRepresentation
bin1001100100101…
…11010101000000
312121010020211022
410302113111000
5131024432431
611545205012
71663431440
oct462272500
9177106738
1080311616
1141374340
1222a90768
131383c188
14a948120
1570b607b
hex4c97540

80311616 has 112 divisors (see below), whose sum is σ = 203850240. Its totient is φ = 30481920.

The previous prime is 80311601. The next prime is 80311619. The reversal of 80311616 is 61611308.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80311619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211715 + ... + 212093.

Almost surely, 280311616 is an apocalyptic number.

80311616 is a gapful number since it is divisible by the number (86) 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 80311616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101925120).

80311616 is an abundant number, since it is smaller than the sum of its proper divisors (123538624).

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

80311616 is a wasteful number, since it uses less digits than its factorization.

80311616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 80311616 is about 8961.6748434654. The cubic root of 80311616 is about 431.4456767670.

The spelling of 80311616 in words is "eighty million, three hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 43 44 56 64 77 86 88 112 154 172 176 224 301 308 344 352 379 448 473 602 616 688 704 758 946 1204 1232 1376 1516 1892 2408 2464 2653 2752 3032 3311 3784 4169 4816 4928 5306 6064 6622 7568 8338 9632 10612 12128 13244 15136 16297 16676 19264 21224 24256 26488 29183 30272 32594 33352 42448 52976 58366 65188 66704 84896 105952 114079 116732 130376 133408 169792 179267 211904 228158 233464 260752 266816 358534 456316 466928 521504 717068 912632 933856 1043008 1254869 1434136 1825264 1867712 2509738 2868272 3650528 5019476 5736544 7301056 10038952 11473088 20077904 40155808 80311616