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481214646 = 2321122910613
BaseRepresentation
bin11100101011101…
…100000010110110
31020112111020101200
4130223230002312
51441142332041
6115430033330
714632154103
oct3453540266
91215436350
10481214646
112276a6760
121151a8846
13789087c3
1447ca5aaa
152c3a71b6
hex1caec0b6

481214646 has 48 divisors (see below), whose sum is σ = 1142490960. Its totient is φ = 145172160.

The previous prime is 481214639. The next prime is 481214647. The reversal of 481214646 is 646412184.

It is a happy number.

481214646 is a `hidden beast` number, since 4 + 8 + 1 + 2 + 1 + 4 + 646 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 481214646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (481214647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40036 + ... + 50648.

It is an arithmetic number, because the mean of its divisors is an integer number (23801895).

Almost surely, 2481214646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481214646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571245480).

481214646 is an abundant number, since it is smaller than the sum of its proper divisors (661276314).

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

481214646 is a wasteful number, since it uses less digits than its factorization.

481214646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861 (or 10858 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 481214646 is about 21936.6051612368. The cubic root of 481214646 is about 783.6334133640.

The spelling of 481214646 in words is "four hundred eighty-one million, two hundred fourteen thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 229 458 687 1374 2061 2519 4122 5038 7557 10613 15114 21226 22671 31839 45342 63678 95517 116743 191034 233486 350229 700458 1050687 2101374 2430377 4860754 7291131 14582262 21873393 26734147 43746786 53468294 80202441 160404882 240607323 481214646