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8056480 = 255431171
BaseRepresentation
bin11110101110111010100000
3120011022102011
4132232322200
54030301410
6444402304
7125323165
oct36567240
916138364
108056480
114602a53
122846394
131891063
1410da06c
15a9218a
hex7aeea0

8056480 has 48 divisors (see below), whose sum is σ = 19492704. Its totient is φ = 3144960.

The previous prime is 8056469. The next prime is 8056481. The reversal of 8056480 is 846508.

It is not an unprimeable number, because it can be changed into a prime (8056481) 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 7 ways as a sum of consecutive naturals, for example, 6295 + ... + 7465.

It is an arithmetic number, because the mean of its divisors is an integer number (406098).

Almost surely, 28056480 is an apocalyptic number.

8056480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8056480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9746352).

8056480 is an abundant number, since it is smaller than the sum of its proper divisors (11436224).

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

8056480 is a wasteful number, since it uses less digits than its factorization.

8056480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 8056480 is about 2838.3939120566. The cubic root of 8056480 is about 200.4695633552.

The spelling of 8056480 in words is "eight million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 80 86 160 172 215 344 430 688 860 1171 1376 1720 2342 3440 4684 5855 6880 9368 11710 18736 23420 37472 46840 50353 93680 100706 187360 201412 251765 402824 503530 805648 1007060 1611296 2014120 4028240 8056480