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80117772 = 22374143541
BaseRepresentation
bin1001100011010…
…00000000001100
312120202101220220
410301220000030
5131002232042
611541111340
71661663340
oct461500014
9176671826
1080117772
1141251739
12229b8550
13137a1b87
14a8d7620
1570788ec
hex4c6800c

80117772 has 96 divisors (see below), whose sum is σ = 224361984. Its totient is φ = 21772800.

The previous prime is 80117761. The next prime is 80117773. The reversal of 80117772 is 27771108.

It is not an unprimeable number, because it can be changed into a prime (80117773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147822 + ... + 148362.

It is an arithmetic number, because the mean of its divisors is an integer number (2337104).

Almost surely, 280117772 is an apocalyptic number.

80117772 is a gapful number since it is divisible by the number (82) 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 80117772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112180992).

80117772 is an abundant number, since it is smaller than the sum of its proper divisors (144244212).

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

80117772 is a wasteful number, since it uses less digits than its factorization.

80117772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 33.

The square root of 80117772 is about 8950.8531436953. The cubic root of 80117772 is about 431.0982777343.

The spelling of 80117772 in words is "eighty million, one hundred seventeen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 43 82 84 86 123 129 164 172 246 258 287 301 492 516 541 574 602 861 903 1082 1148 1204 1623 1722 1763 1806 2164 3246 3444 3526 3612 3787 5289 6492 7052 7574 10578 11361 12341 15148 21156 22181 22722 23263 24682 37023 44362 45444 46526 49364 66543 69789 74046 88724 93052 133086 139578 148092 155267 162841 266172 279156 310534 325682 465801 488523 621068 651364 931602 953783 977046 1863204 1907566 1954092 2861349 3815132 5722698 6676481 11445396 13352962 20029443 26705924 40058886 80117772