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80781264 = 24321992819
BaseRepresentation
bin1001101000010…
…01111111010000
312122000010001200
410310021333100
5131140000024
612003231200
72000425614
oct464117720
9178003050
1080781264
1141665183
1223078500
1313974b85
14aa2b344
15715a2c9
hex4d09fd0

80781264 has 60 divisors (see below), whose sum is σ = 227292000. Its totient is φ = 26782272.

The previous prime is 80781247. The next prime is 80781287. The reversal of 80781264 is 46218708.

It is a super-2 number, since 2×807812642 = 13051225226875392, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27247 + ... + 30065.

It is an arithmetic number, because the mean of its divisors is an integer number (3788200).

Almost surely, 280781264 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 80781264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113646000).

80781264 is an abundant number, since it is smaller than the sum of its proper divisors (146510736).

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

80781264 is a wasteful number, since it uses less digits than its factorization.

80781264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3023 counting only the distinct ones).

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

The square root of 80781264 is about 8987.8397849539. The cubic root of 80781264 is about 432.2850484993.

The spelling of 80781264 in words is "eighty million, seven hundred eighty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 2819 3184 3582 4776 5638 7164 8457 9552 11276 14328 16914 22552 25371 28656 33828 45104 50742 67656 101484 135312 202968 405936 560981 1121962 1682943 2243924 3365886 4487848 5048829 6731772 8975696 10097658 13463544 20195316 26927088 40390632 80781264