Search a number
-
+
80256528 = 24331116889
BaseRepresentation
bin1001100100010…
…01111000010000
312121000110021000
410302021320100
5131021202103
611544102000
71663112022
oct462117020
9177013230
1080256528
1141336a10
1222a64900
1313820091
14a932012
1570a4aa3
hex4c89e10

80256528 has 80 divisors (see below), whose sum is σ = 251323200. Its totient is φ = 24318720.

The previous prime is 80256523. The next prime is 80256569. The reversal of 80256528 is 82565208.

80256528 is a `hidden beast` number, since 80 + 2 + 56 + 528 = 666.

It is a super-2 number, since 2×802565282 = 12882220573229568, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 80256492 and 80256501.

It is not an unprimeable number, because it can be changed into a prime (80256523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3693 + ... + 13196.

It is an arithmetic number, because the mean of its divisors is an integer number (3141540).

Almost surely, 280256528 is an apocalyptic number.

80256528 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80256528 is an abundant number, since it is smaller than the sum of its proper divisors (171066672).

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

80256528 is a wasteful number, since it uses less digits than its factorization.

80256528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16917 (or 16905 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 80256528 is about 8958.6007836045. The cubic root of 80256528 is about 431.3470072886.

The spelling of 80256528 in words is "eighty million, two hundred fifty-six thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 16889 33778 50667 67556 101334 135112 152001 185779 202668 270224 304002 371558 405336 456003 557337 608004 743116 810672 912006 1114674 1216008 1486232 1672011 1824012 2229348 2432016 2972464 3344022 3648024 4458696 5016033 6688044 7296048 8917392 10032066 13376088 20064132 26752176 40128264 80256528