Search a number
-
+
968853795 = 357131937357
BaseRepresentation
bin111001101111111…
…000100100100011
32111112001212112220
4321233320210203
53441011310140
6240045522123
733003056430
oct7157704443
92445055486
10968853795
11457990218
12230573343
13125953590
1492960b87
155a0ccbd0
hex39bf8923

968853795 has 64 divisors (see below), whose sum is σ = 2008366080. Its totient is φ = 387307008.

The previous prime is 968853791. The next prime is 968853841. The reversal of 968853795 is 597358869.

It is not a de Polignac number, because 968853795 - 22 = 968853791 is a prime.

It is not an unprimeable number, because it can be changed into a prime (968853791) 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 63 ways as a sum of consecutive naturals, for example, 7257 + ... + 44613.

It is an arithmetic number, because the mean of its divisors is an integer number (31380720).

Almost surely, 2968853795 is an apocalyptic number.

968853795 is a gapful number since it is divisible by the number (95) formed by its first and last digit.

968853795 is an abundant number, since it is smaller than the sum of its proper divisors (1039512285).

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

968853795 is a wasteful number, since it uses less digits than its factorization.

968853795 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37404.

The product of its digits is 16329600, while the sum is 60.

The square root of 968853795 is about 31126.4163533164. The cubic root of 968853795 is about 989.5082395976.

The spelling of 968853795 in words is "nine hundred sixty-eight million, eight hundred fifty-three thousand, seven hundred ninety-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 57 65 91 95 105 133 195 247 273 285 399 455 665 741 1235 1365 1729 1995 3705 5187 8645 25935 37357 112071 186785 261499 485641 560355 709783 784497 1307495 1456923 2129349 2428205 3399487 3548915 3922485 4968481 7284615 9227179 10198461 10646745 14905443 16997435 24842405 27681537 46135895 50992305 64590253 74527215 138407685 193770759 322951265 968853795