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80855808 = 2831117563
BaseRepresentation
bin1001101000111…
…00001100000000
312122010220022120
410310130030000
5131144341213
612005004240
72001156135
oct464341400
9178126276
1080855808
1141706190
12230b3680
131399ca97
14aa4a58c
157172423
hex4d1c300

80855808 has 144 divisors (see below), whose sum is σ = 249008256. Its totient is φ = 23019520.

The previous prime is 80855779. The next prime is 80855821.

80855808 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 80855808.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143335 + ... + 143897.

It is an arithmetic number, because the mean of its divisors is an integer number (1729224).

Almost surely, 280855808 is an apocalyptic number.

80855808 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 80855808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124504128).

80855808 is an abundant number, since it is smaller than the sum of its proper divisors (168152448).

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

80855808 is a wasteful number, since it uses less digits than its factorization.

80855808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 42.

The square root of 80855808 is about 8991.9857651133. The cubic root of 80855808 is about 432.4179768051.

It can be divided in two parts, 808 and 55808, that added together give a triangular number (56616 = T336).

The spelling of 80855808 in words is "eighty million, eight hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 563 704 748 768 816 1056 1088 1122 1126 1408 1496 1632 1689 2112 2176 2244 2252 2816 2992 3264 3378 4224 4352 4488 4504 5984 6193 6528 6756 8448 8976 9008 9571 11968 12386 13056 13512 17952 18016 18579 19142 23936 24772 27024 28713 35904 36032 37158 38284 47872 49544 54048 57426 71808 72064 74316 76568 99088 105281 108096 114852 143616 144128 148632 153136 198176 210562 216192 229704 297264 306272 315843 396352 421124 432384 459408 594528 612544 631686 792704 842248 918816 1189056 1225088 1263372 1585408 1684496 1837632 2378112 2450176 2526744 3368992 3675264 4756224 5053488 6737984 7350528 10106976 13475968 20213952 26951936 40427904 80855808