Search a number
-
+
246946868 = 22723197419
BaseRepresentation
bin11101011100000…
…01110000110100
3122012200012102022
432232001300310
51001204244433
640300532312
76056004500
oct1656016064
9565605368
10246946868
11117438923
126a851098
133c213b0c
1424b23300
1516a2e698
hexeb81c34

246946868 has 72 divisors (see below), whose sum is σ = 525530880. Its totient is φ = 101122560.

The previous prime is 246946867. The next prime is 246946871. The reversal of 246946868 is 868649642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246946867) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 589163 + ... + 589581.

It is an arithmetic number, because the mean of its divisors is an integer number (7299040).

Almost surely, 2246946868 is an apocalyptic number.

246946868 is a gapful number since it is divisible by the number (28) 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 246946868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262765440).

246946868 is an abundant number, since it is smaller than the sum of its proper divisors (278584012).

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

246946868 is a wasteful number, since it uses less digits than its factorization.

246946868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 556 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 53.

The square root of 246946868 is about 15714.5432004879. The cubic root of 246946868 is about 627.3855437980.

The spelling of 246946868 in words is "two hundred forty-six million, nine hundred forty-six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 31 49 62 97 98 124 194 196 217 388 419 434 679 838 868 1358 1519 1676 2716 2933 3007 3038 4753 5866 6014 6076 9506 11732 12028 12989 19012 20531 21049 25978 40643 41062 42098 51956 81286 82124 84196 90923 147343 162572 181846 284501 294686 363692 569002 589372 636461 1138004 1259933 1272922 1991507 2519866 2545844 3983014 5039732 7966028 8819531 17639062 35278124 61736717 123473434 246946868