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480474126 = 233114991621
BaseRepresentation
bin11100101000110…
…111010000001110
31020111002121121000
4130220313100032
51441000133001
6115402121130
714622651126
oct3450672016
91214077530
10480474126
11227240360
12114ab01a6
1378709722
1447b51c86
152c2aca86
hex1ca3740e

480474126 has 64 divisors (see below), whose sum is σ = 1167840000. Its totient is φ = 145216800.

The previous prime is 480474107. The next prime is 480474133. The reversal of 480474126 is 621474084.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295596 + ... + 297216.

It is an arithmetic number, because the mean of its divisors is an integer number (18247500).

Almost surely, 2480474126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480474126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583920000).

480474126 is an abundant number, since it is smaller than the sum of its proper divisors (687365874).

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

480474126 is a wasteful number, since it uses less digits than its factorization.

480474126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 480474126 is about 21919.7200255843. The cubic root of 480474126 is about 783.2312406960.

The spelling of 480474126 in words is "four hundred eighty million, four hundred seventy-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 499 594 998 1497 1621 2994 3242 4491 4863 5489 8982 9726 10978 13473 14589 16467 17831 26946 29178 32934 35662 43767 49401 53493 87534 98802 106986 148203 160479 296406 320958 481437 808879 962874 1617758 2426637 4853274 7279911 8897669 14559822 17795338 21839733 26693007 43679466 53386014 80079021 160158042 240237063 480474126