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80277132 = 223132691913
BaseRepresentation
bin1001100100011…
…10111010001100
312121001111112010
410302032322030
5131022332012
611544341220
71663226055
oct462167214
9177044463
1080277132
1141350441
1222a74810
1313829580
14a93972c
1570aac3c
hex4c8ee8c

80277132 has 48 divisors (see below), whose sum is σ = 202577760. Its totient is φ = 24595968.

The previous prime is 80277097. The next prime is 80277137. The reversal of 80277132 is 23177208.

It is a self number, because there is not a number n which added to its sum of digits gives 80277132.

It is not an unprimeable number, because it can be changed into a prime (80277137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41008 + ... + 42920.

It is an arithmetic number, because the mean of its divisors is an integer number (4220370).

Almost surely, 280277132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80277132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101288880).

80277132 is an abundant number, since it is smaller than the sum of its proper divisors (122300628).

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

80277132 is a wasteful number, since it uses less digits than its factorization.

80277132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 80277132 is about 8959.7506661737. The cubic root of 80277132 is about 431.3839169063.

The spelling of 80277132 in words is "eighty million, two hundred seventy-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 269 538 807 1076 1614 1913 3228 3497 3826 5739 6994 7652 10491 11478 13988 20982 22956 24869 41964 49738 74607 99476 149214 298428 514597 1029194 1543791 2058388 3087582 6175164 6689761 13379522 20069283 26759044 40138566 80277132