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80763956 = 227213291093
BaseRepresentation
bin1001101000001…
…01110000110100
312121222020022122
410310011300310
5131133421311
612003015112
72000324300
oct464056064
9177866278
1080763956
1141653179
122306a498
131396a030
14aa24d00
1571550db
hex4d05c34

80763956 has 72 divisors (see below), whose sum is σ = 183332520. Its totient is φ = 30820608.

The previous prime is 80763941. The next prime is 80763967. The reversal of 80763956 is 65936708.

It can be written as a sum of positive squares in 4 ways, for example, as 21473956 + 59290000 = 4634^2 + 7700^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73346 + ... + 74438.

It is an arithmetic number, because the mean of its divisors is an integer number (2546285).

Almost surely, 280763956 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 80763956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91666260).

80763956 is an abundant number, since it is smaller than the sum of its proper divisors (102568564).

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

80763956 is a wasteful number, since it uses less digits than its factorization.

80763956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 80763956 is about 8986.8768768688. The cubic root of 80763956 is about 432.2541728413.

The spelling of 80763956 in words is "eighty million, seven hundred sixty-three thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 182 196 203 364 377 406 637 754 812 1093 1274 1421 1508 2186 2548 2639 2842 4372 5278 5684 7651 10556 14209 15302 18473 28418 30604 31697 36946 53557 56836 63394 73892 99463 107114 126788 198926 214228 221879 397852 412061 443758 696241 824122 887516 1392482 1553153 1648244 2784964 2884427 3106306 5768854 6212612 11537708 20190989 40381978 80763956