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480212631 = 3419312029
BaseRepresentation
bin11100100111110…
…111011010010111
31020110121022220000
4130213313122113
51440413301011
6115352342343
714620511553
oct3447673227
91213538800
10480212631
11227081948
121149a49b3
13786476b2
1447ac4863
152c25a356
hex1c9f7697

480212631 has 20 divisors (see below), whose sum is σ = 755112600. Its totient is φ = 303291216.

The previous prime is 480212627. The next prime is 480212633. The reversal of 480212631 is 136212084.

480212631 is a `hidden beast` number, since 4 + 8 + 0 + 21 + 2 + 631 = 666.

It is not a de Polignac number, because 480212631 - 22 = 480212627 is a prime.

It is a super-2 number, since 2×4802126312 = 461208341943884322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 480212595 and 480212604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480212633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 154476 + ... + 157553.

It is an arithmetic number, because the mean of its divisors is an integer number (37755630).

Almost surely, 2480212631 is an apocalyptic number.

480212631 is a deficient number, since it is larger than the sum of its proper divisors (274899969).

480212631 is a wasteful number, since it uses less digits than its factorization.

480212631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312060 (or 312051 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 480212631 is about 21913.7543793847. The cubic root of 480212631 is about 783.0891253638.

The spelling of 480212631 in words is "four hundred eighty million, two hundred twelve thousand, six hundred thirty-one".

Divisors: 1 3 9 19 27 57 81 171 513 1539 312029 936087 2808261 5928551 8424783 17785653 25274349 53356959 160070877 480212631