Search a number
-
+
246164828 = 227213175683
BaseRepresentation
bin11101010110000…
…10110101011100
3122011012110122212
432223002311130
51001004233303
640232055552
76046236500
oct1653026534
9564173585
10246164828
11116a54308
126a5345b8
133bccbb80
142499c300
1516927ad8
hexeac2d5c

246164828 has 72 divisors (see below), whose sum is σ = 571514832. Its totient is φ = 91639296.

The previous prime is 246164819. The next prime is 246164839. The reversal of 246164828 is 828461642.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40475 + ... + 46157.

It is an arithmetic number, because the mean of its divisors is an integer number (7937706).

Almost surely, 2246164828 is an apocalyptic number.

246164828 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 246164828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285757416).

246164828 is an abundant number, since it is smaller than the sum of its proper divisors (325350004).

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

246164828 is a wasteful number, since it uses less digits than its factorization.

246164828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731 (or 5722 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 246164828 is about 15689.6407862003. The cubic root of 246164828 is about 626.7225679472.

The spelling of 246164828 in words is "two hundred forty-six million, one hundred sixty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 49 52 68 91 98 119 182 196 221 238 364 442 476 637 833 884 1274 1547 1666 2548 3094 3332 5683 6188 10829 11366 21658 22732 39781 43316 73879 79562 96611 147758 159124 193222 278467 295516 386444 517153 556934 676277 1034306 1113868 1255943 1352554 2068612 2511886 2705108 3620071 4733939 5023772 7240142 8791601 9467878 14480284 17583202 18935756 35166404 61541207 123082414 246164828