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968063652 = 223223250833
BaseRepresentation
bin111001101100110…
…111101010100100
32111110120201200100
4321230313222210
53440311014102
6240020544100
732663256003
oct7154675244
92443521610
10968063652
114574a0606
12230252030
13125737a3a
14927d6c3a
1559ec3a1c
hex39b37aa4

968063652 has 54 divisors (see below), whose sum is σ = 2558119382. Its totient is φ = 308651904.

The previous prime is 968063651. The next prime is 968063659. The reversal of 968063652 is 256360869.

It is a happy number.

968063652 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 636 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 823919616 + 144144036 = 28704^2 + 12006^2 .

It is a junction number, because it is equal to n+sod(n) for n = 968063598 and 968063607.

It is not an unprimeable number, because it can be changed into a prime (968063651) 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 17 ways as a sum of consecutive naturals, for example, 6373 + ... + 44460.

Almost surely, 2968063652 is an apocalyptic number.

968063652 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

968063652 is an abundant number, since it is smaller than the sum of its proper divisors (1590055730).

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

968063652 is a wasteful number, since it uses less digits than its factorization.

968063652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50889 (or 50861 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 968063652 is about 31113.7212817753. The cubic root of 968063652 is about 989.2391705683.

The spelling of 968063652 in words is "nine hundred sixty-eight million, sixty-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 50833 101666 152499 203332 304998 457497 609996 914994 1169159 1829988 2338318 3507477 4676636 7014954 10522431 14029908 21044862 26890657 42089724 53781314 80671971 107562628 161343942 242015913 322687884 484031826 968063652