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80787712 = 284143179
BaseRepresentation
bin1001101000010…
…11100100000000
312122000102220111
410310023210000
5131140201322
612003321104
72000453455
oct464134400
9178012814
1080787712
114166a005
1223080194
1313977aa5
14aa2d82c
15715c177
hex4d0b900

80787712 has 72 divisors (see below), whose sum is σ = 169979040. Its totient is φ = 38277120.

The previous prime is 80787709. The next prime is 80787719. The reversal of 80787712 is 21778708.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (80787719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 451239 + ... + 451417.

It is an arithmetic number, because the mean of its divisors is an integer number (2360820).

Almost surely, 280787712 is an apocalyptic number.

80787712 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

80787712 is the 7339-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80787712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84989520).

80787712 is an abundant number, since it is smaller than the sum of its proper divisors (89191328).

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

80787712 is a wasteful number, since it uses less digits than its factorization.

80787712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 40.

The square root of 80787712 is about 8988.1984846798. The cubic root of 80787712 is about 432.2965499280.

The spelling of 80787712 in words is "eighty million, seven hundred eighty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 41 43 64 82 86 128 164 172 179 256 328 344 358 656 688 716 1312 1376 1432 1763 2624 2752 2864 3526 5248 5504 5728 7052 7339 7697 10496 11008 11456 14104 14678 15394 22912 28208 29356 30788 45824 56416 58712 61576 112832 117424 123152 225664 234848 246304 315577 451328 469696 492608 631154 939392 985216 1262308 1878784 1970432 2524616 5049232 10098464 20196928 40393856 80787712