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80550828 = 22331773601
BaseRepresentation
bin1001100110100…
…01101110101100
312121120101222000
410303101232230
5131110111303
611554252300
71665446031
oct463215654
9177511860
1080550828
1141518036
1222b87090
13138c4017
14a9ab388
157111da3
hex4cd1bac

80550828 has 96 divisors (see below), whose sum is σ = 224521920. Its totient is φ = 24883200.

The previous prime is 80550787. The next prime is 80550829. The reversal of 80550828 is 82805508.

80550828 is a `hidden beast` number, since 80 + 550 + 8 + 28 = 666.

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 = 80550792 and 80550801.

It is not an unprimeable number, because it can be changed into a prime (80550829) 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, 133728 + ... + 134328.

It is an arithmetic number, because the mean of its divisors is an integer number (2338770).

Almost surely, 280550828 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 80550828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112260960).

80550828 is an abundant number, since it is smaller than the sum of its proper divisors (143971092).

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

80550828 is a wasteful number, since it uses less digits than its factorization.

80550828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 80550828 is about 8975.0113091851. The cubic root of 80550828 is about 431.8736127187.

The spelling of 80550828 in words is "eighty million, five hundred fifty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 73 102 108 146 153 204 219 292 306 438 459 601 612 657 876 918 1202 1241 1314 1803 1836 1971 2404 2482 2628 3606 3723 3942 4964 5409 7212 7446 7884 10217 10818 11169 14892 16227 20434 21636 22338 30651 32454 33507 40868 43873 44676 61302 64908 67014 87746 91953 122604 131619 134028 175492 183906 263238 275859 367812 394857 526476 551718 745841 789714 1103436 1184571 1491682 1579428 2237523 2369142 2983364 4475046 4738284 6712569 8950092 13425138 20137707 26850276 40275414 80550828