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1429886048 = 251719313619
BaseRepresentation
bin101010100111010…
…0101010001100000
310200122120201220112
41111032211101200
510412022323143
6353515230452
750301554663
oct12516452140
93618521815
101429886048
11674151608
1233aa48428
1319a313926
14d7c916da
15857e9e18
hex553a5460

1429886048 has 48 divisors (see below), whose sum is σ = 2996345520. Its totient is φ = 669351936.

The previous prime is 1429886033. The next prime is 1429886071. The reversal of 1429886048 is 8406889241.

It is a super-2 number, since 2×14298860482 = 4089148220530116608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1429885987 and 1429886005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98183 + ... + 111801.

It is an arithmetic number, because the mean of its divisors is an integer number (62423865).

Almost surely, 21429886048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429886048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498172760).

1429886048 is an abundant number, since it is smaller than the sum of its proper divisors (1566459472).

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

1429886048 is a wasteful number, since it uses less digits than its factorization.

1429886048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13839 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 50.

The square root of 1429886048 is about 37813.8340822509. The cubic root of 1429886048 is about 1126.5932449071.

The spelling of 1429886048 in words is "one billion, four hundred twenty-nine million, eight hundred eighty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 193 272 386 544 772 1544 3088 3281 6176 6562 13124 13619 26248 27238 52496 54476 104992 108952 217904 231523 435808 463046 926092 1852184 2628467 3704368 5256934 7408736 10513868 21027736 42055472 44683939 84110944 89367878 178735756 357471512 714943024 1429886048