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480348431 = 29103160813
BaseRepresentation
bin11100101000011…
…000100100001111
31020110212020011122
4130220120210033
51440432122211
6115355311155
714621615513
oct3450304417
91213766148
10480348431
11227164982
12114a4b4bb
1378694454
1447b1c143
152c2856db
hex1ca1890f

480348431 has 8 divisors (see below), whose sum is σ = 501739680. Its totient is φ = 459279072.

The previous prime is 480348419. The next prime is 480348457. The reversal of 480348431 is 134843084.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 480348431 - 210 = 480347407 is a prime.

It is a super-2 number, since 2×4803484312 = 461469230328323522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480348391 and 480348400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480348331) 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, 77420 + ... + 83393.

It is an arithmetic number, because the mean of its divisors is an integer number (62717460).

Almost surely, 2480348431 is an apocalyptic number.

480348431 is a deficient number, since it is larger than the sum of its proper divisors (21391249).

480348431 is a wasteful number, since it uses less digits than its factorization.

480348431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160945.

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 480348431 is about 21916.8526709471. The cubic root of 480348431 is about 783.1629353621.

It can be divided in two parts, 48034 and 8431, that added together give a palindrome (56465).

The spelling of 480348431 in words is "four hundred eighty million, three hundred forty-eight thousand, four hundred thirty-one".

Divisors: 1 29 103 2987 160813 4663577 16563739 480348431