Search a number
-
+
80054928 = 24321573541
BaseRepresentation
bin1001100010110…
…00101010010000
312120122012201100
410301120222100
5130443224203
611535504400
71661312202
oct461305220
9176565640
1080054928
11412094a8
1222988100
131377c3a5
14a8bc772
157064ea3
hex4c58a90

80054928 has 60 divisors (see below), whose sum is σ = 225533308. Its totient is φ = 26507520.

The previous prime is 80054899. The next prime is 80054951. The reversal of 80054928 is 82945008.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 51667344 = 5328^2 + 7188^2 .

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 = 80054892 and 80054901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20838 + ... + 24378.

Almost surely, 280054928 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 80054928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112766654).

80054928 is an abundant number, since it is smaller than the sum of its proper divisors (145478380).

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

80054928 is a wasteful number, since it uses less digits than its factorization.

80054928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3712 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 80054928 is about 8947.3419516636. The cubic root of 80054928 is about 430.9855311024.

The spelling of 80054928 in words is "eighty million, fifty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3541 3768 5652 7082 7536 10623 11304 14164 21246 22608 28328 31869 42492 56656 63738 84984 127476 169968 254952 509904 555937 1111874 1667811 2223748 3335622 4447496 5003433 6671244 8894992 10006866 13342488 20013732 26684976 40027464 80054928