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80327808 = 2733112113
BaseRepresentation
bin1001100100110…
…11010010000000
312121011002001000
410302123102000
5131030442213
611545412000
71663526601
oct462332200
9177132030
1080327808
1141385520
1222a9a000
1313846662
14a94dda8
1570bac73
hex4c9b480

80327808 has 128 divisors (see below), whose sum is σ = 258753600. Its totient is φ = 24330240.

The previous prime is 80327803. The next prime is 80327831. The reversal of 80327808 is 80872308.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is not an unprimeable number, because it can be changed into a prime (80327803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36960 + ... + 39072.

Almost surely, 280327808 is an apocalyptic number.

80327808 is a gapful number since it is divisible by the number (88) 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 80327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129376800).

80327808 is an abundant number, since it is smaller than the sum of its proper divisors (178425792).

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

80327808 is a wasteful number, since it uses less digits than its factorization.

80327808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2147 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80327808 is about 8962.5782004957. The cubic root of 80327808 is about 431.4746700779.

80327808 divided by its sum of digits (36) gives a triangular number (2231328 = T2112).

The spelling of 80327808 in words is "eighty million, three hundred twenty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2113 2376 3168 3456 4224 4226 4752 6336 6339 8452 9504 12672 12678 16904 19008 19017 23243 25356 33808 38016 38034 46486 50712 57051 67616 69729 76068 92972 101424 114102 135232 139458 152136 185944 202848 209187 228204 270464 278916 304272 371888 405696 418374 456408 557832 608544 627561 743776 811392 836748 912816 1115664 1217088 1255122 1487552 1673496 1825632 2231328 2434176 2510244 2975104 3346992 3651264 4462656 5020488 6693984 7302528 8925312 10040976 13387968 20081952 26775936 40163904 80327808