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1427908608 = 21133721731
BaseRepresentation
bin101010100011100…
…0010100000000000
310200111212021101000
41111013002200000
510411021033413
6353405012000
750246010600
oct12507024000
93614767330
101427908608
11673020965
1233a254000
13199aa0849
14d78d8c00
1585559073
hex551c2800

1427908608 has 576 divisors, whose sum is σ = 5377881600. Its totient is φ = 371589120.

The previous prime is 1427908561. The next prime is 1427908627. The reversal of 1427908608 is 8068097241.

1427908608 is a `hidden beast` number, since 14 + 27 + 9 + 0 + 8 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46061553 + ... + 46061583.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 21427908608 is an apocalyptic number.

1427908608 is a gapful number since it is divisible by the number (18) 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 1427908608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2688940800).

1427908608 is an abundant number, since it is smaller than the sum of its proper divisors (3949972992).

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

1427908608 is a wasteful number, since it uses less digits than its factorization.

1427908608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 1427908608 is about 37787.6779916417. The cubic root of 1427908608 is about 1126.0736701029.

The spelling of 1427908608 in words is "one billion, four hundred twenty-seven million, nine hundred eight thousand, six hundred eight".