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1429031296 = 2773112269
BaseRepresentation
bin101010100101101…
…0100100110000000
310200120222022102001
41111023110212000
510411313000141
6353445033344
750261365000
oct12513244600
93616868361
101429031296
11673718400
1233a6b5854
1319a0a4864
14d7b0c000
15856cba31
hex552d4980

1429031296 has 192 divisors, whose sum is σ = 3662820000. Its totient is φ = 554695680.

The previous prime is 1429031293. The next prime is 1429031297. The reversal of 1429031296 is 6921309241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429031291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5312250 + ... + 5312518.

Almost surely, 21429031296 is an apocalyptic number.

1429031296 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 1429031296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831410000).

1429031296 is an abundant number, since it is smaller than the sum of its proper divisors (2233788704).

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

1429031296 is an equidigital number, since it uses as much as digits as its factorization.

1429031296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 1429031296 is about 37802.5302856833. The cubic root of 1429031296 is about 1126.3687165791.

The spelling of 1429031296 in words is "one billion, four hundred twenty-nine million, thirty-one thousand, two hundred ninety-six".