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481057506 = 23255747981
BaseRepresentation
bin11100101011000…
…101101011100010
31020112012020211200
4130223011223202
51441122320011
6115422422030
714630631006
oct3453055342
91215166750
10481057506
112275a9696
12115131916
1378882117
1447c64706
152c375856
hex1cac5ae2

481057506 has 24 divisors (see below), whose sum is σ = 1044184284. Its totient is φ = 160061280.

The previous prime is 481057501. The next prime is 481057519. The reversal of 481057506 is 605750184.

481057506 is a `hidden beast` number, since 4 + 81 + 0 + 575 + 0 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417998025 + 63059481 = 20445^2 + 7941^2 .

It is a super-3 number, since 3×4810575063 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (481057501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13965 + ... + 34016.

Almost surely, 2481057506 is an apocalyptic number.

481057506 is an abundant number, since it is smaller than the sum of its proper divisors (563126778).

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

481057506 is a wasteful number, since it uses less digits than its factorization.

481057506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48546 (or 48543 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 481057506 is about 21933.0231842307. The cubic root of 481057506 is about 783.5481059294.

It can be divided in two parts, 48105 and 7506, that added together give a triangular number (55611 = T333).

The spelling of 481057506 in words is "four hundred eighty-one million, fifty-seven thousand, five hundred six".

Divisors: 1 2 3 6 9 18 557 1114 1671 3342 5013 10026 47981 95962 143943 287886 431829 863658 26725417 53450834 80176251 160352502 240528753 481057506