Search a number
-
+
1275427296 = 253511133137
BaseRepresentation
bin100110000000101…
…0111100111100000
310021212221102100000
41030001113213200
510103002133141
6330320500000
743414644633
oct11401274740
93255842300
101275427296
115a4a44450
122b717a600
13174313410
14c1565c1a
1576e895b6
hex4c0579e0

1275427296 has 576 divisors, whose sum is σ = 4684732416. Its totient is φ = 335923200.

The previous prime is 1275427273. The next prime is 1275427357. The reversal of 1275427296 is 6927245721.

1275427296 is a `hidden beast` number, since 12 + 7 + 542 + 7 + 2 + 96 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 95 ways as a sum of consecutive naturals, for example, 34470990 + ... + 34471026.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 21275427296 is an apocalyptic number.

1275427296 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 1275427296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2342366208).

1275427296 is an abundant number, since it is smaller than the sum of its proper divisors (3409305120).

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

1275427296 is a wasteful number, since it uses less digits than its factorization.

1275427296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 1275427296 is about 35713.1249822807. The cubic root of 1275427296 is about 1084.4725634835.

The spelling of 1275427296 in words is "one billion, two hundred seventy-five million, four hundred twenty-seven thousand, two hundred ninety-six".