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1427881392 = 243374379139
BaseRepresentation
bin101010100011011…
…1011110110110000
310200111210220001000
41111012323312300
510411014201032
6353404242000
750245535340
oct12506736660
93614726030
101427881392
11673002473
1233a240300
13199a91342
14d78ccd20
1585550e7c
hex551bbdb0

1427881392 has 320 divisors, whose sum is σ = 4888576000. Its totient is φ = 390604032.

The previous prime is 1427881373. The next prime is 1427881397. The reversal of 1427881392 is 2931887241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1427881397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10272459 + ... + 10272597.

It is an arithmetic number, because the mean of its divisors is an integer number (15276800).

Almost surely, 21427881392 is an apocalyptic number.

1427881392 is a gapful number since it is divisible by the number (12) 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 1427881392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444288000).

1427881392 is an abundant number, since it is smaller than the sum of its proper divisors (3460694608).

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

1427881392 is a wasteful number, since it uses less digits than its factorization.

1427881392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

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

The square root of 1427881392 is about 37787.3178725350. The cubic root of 1427881392 is about 1126.0665157198.

The spelling of 1427881392 in words is "one billion, four hundred twenty-seven million, eight hundred eighty-one thousand, three hundred ninety-two".