Search a number
-
+
80903556 = 22331077001
BaseRepresentation
bin1001101001001…
…11110110000100
312122020022211000
410310213312010
5131202403211
612010013300
72001445266
oct464476604
9178208730
1080903556
1141739048
1223117230
13139b8736
14aa5db36
157181656
hex4d27d84

80903556 has 48 divisors (see below), whose sum is σ = 211740480. Its totient is φ = 26712000.

The previous prime is 80903551. The next prime is 80903567. The reversal of 80903556 is 65530908.

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

It is a self number, because there is not a number n which added to its sum of digits gives 80903556.

It is not an unprimeable number, because it can be changed into a prime (80903551) 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, 8056 + ... + 15056.

It is an arithmetic number, because the mean of its divisors is an integer number (4411260).

Almost surely, 280903556 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 80903556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105870240).

80903556 is an abundant number, since it is smaller than the sum of its proper divisors (130836924).

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

80903556 is a wasteful number, since it uses less digits than its factorization.

80903556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7121 (or 7113 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 80903556 is about 8994.6404041518. The cubic root of 80903556 is about 432.5030790430.

The spelling of 80903556 in words is "eighty million, nine hundred three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 642 963 1284 1926 2889 3852 5778 7001 11556 14002 21003 28004 42006 63009 84012 126018 189027 252036 378054 749107 756108 1498214 2247321 2996428 4494642 6741963 8989284 13483926 20225889 26967852 40451778 80903556