Search a number
-
+
968948427 = 31516013559
BaseRepresentation
bin111001110000001…
…111101011001011
32111112020200100210
4321300033223023
53441022322202
6240051532203
733003632346
oct7160175313
92445220323
10968948427
11457a45327
122305ba063
13125987685
149298745d
155a0eac6c
hex39c0facb

968948427 has 16 divisors (see below), whose sum is σ = 1303016960. Its totient is φ = 640440000.

The previous prime is 968948411. The next prime is 968948437. The reversal of 968948427 is 724849869.

It is not a de Polignac number, because 968948427 - 24 = 968948411 is a prime.

It is a super-2 number, since 2×9689484272 = 1877722108371548658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (968948437) 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 15 ways as a sum of consecutive naturals, for example, 270474 + ... + 274032.

It is an arithmetic number, because the mean of its divisors is an integer number (81438560).

Almost surely, 2968948427 is an apocalyptic number.

968948427 is a deficient number, since it is larger than the sum of its proper divisors (334068533).

968948427 is a wasteful number, since it uses less digits than its factorization.

968948427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4314.

The product of its digits is 6967296, while the sum is 57.

The square root of 968948427 is about 31127.9364397963. The cubic root of 968948427 is about 989.5404550174.

The spelling of 968948427 in words is "nine hundred sixty-eight million, nine hundred forty-eight thousand, four hundred twenty-seven".

Divisors: 1 3 151 453 601 1803 3559 10677 90751 272253 537409 1612227 2138959 6416877 322982809 968948427