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1480726656 = 27341731271
BaseRepresentation
bin101100001000010…
…0001100010000000
310211012020201010000
41120100201202000
511013031223111
6402533040000
751456653223
oct13020414200
93735221100
101480726656
1169a916942
12353a86000
131a7a04826
141009275ba
1589eddc56
hex58421880

1480726656 has 320 divisors, whose sum is σ = 4834114560. Its totient is φ = 447897600.

The previous prime is 1480726607. The next prime is 1480726693. The reversal of 1480726656 is 6566270841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5463801 + ... + 5464071.

It is an arithmetic number, because the mean of its divisors is an integer number (15106608).

Almost surely, 21480726656 is an apocalyptic number.

1480726656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480726656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417057280).

1480726656 is an abundant number, since it is smaller than the sum of its proper divisors (3353387904).

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

1480726656 is a wasteful number, since it uses less digits than its factorization.

1480726656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 1480726656 is about 38480.2112260315. The cubic root of 1480726656 is about 1139.7903215473.

The spelling of 1480726656 in words is "one billion, four hundred eighty million, seven hundred twenty-six thousand, six hundred fifty-six".