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481490856 = 2332721119653
BaseRepresentation
bin11100101100101…
…111011110101000
31020120000021021200
4130230233132220
51441230201411
6115440004200
714634414300
oct3454573650
91216007250
10481490856
11227875230
12115300660
13789a4442
1447d38600
152c40de56
hex1cb2f7a8

481490856 has 288 divisors, whose sum is σ = 1744610400. Its totient is φ = 118298880.

The previous prime is 481490843. The next prime is 481490869. The reversal of 481490856 is 658094184.

481490856 is a `hidden beast` number, since 4 + 81 + 490 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (481490843) and next prime (481490869).

It is a super-2 number, since 2×4814908562 = 463666888823225472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 737026 + ... + 737678.

It is an arithmetic number, because the mean of its divisors is an integer number (6057675).

Almost surely, 2481490856 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 481490856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872305200).

481490856 is an abundant number, since it is smaller than the sum of its proper divisors (1263119544).

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

481490856 is a wasteful number, since it uses less digits than its factorization.

481490856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 481490856 is about 21942.8998995119. The cubic root of 481490856 is about 783.7833159681.

The spelling of 481490856 in words is "four hundred eighty-one million, four hundred ninety thousand, eight hundred fifty-six".