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246676968 = 23332294987
BaseRepresentation
bin11101011001111…
…11110111101000
3122012011111012000
432230333313220
51001122130333
640251051000
76053501556
oct1654776750
9565144160
10246676968
1111727406a
126a740a60
133c14b005
1424a92bd6
15169c9713
hexeb3fde8

246676968 has 64 divisors (see below), whose sum is σ = 688344000. Its totient is φ = 81850176.

The previous prime is 246676949. The next prime is 246676973. The reversal of 246676968 is 869676642.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46971 + ... + 51957.

It is an arithmetic number, because the mean of its divisors is an integer number (10755375).

Almost surely, 2246676968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 246676968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344172000).

246676968 is an abundant number, since it is smaller than the sum of its proper divisors (441667032).

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

246676968 is a wasteful number, since it uses less digits than its factorization.

246676968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5221 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 246676968 is about 15705.9532661981. The cubic root of 246676968 is about 627.1568939576.

The spelling of 246676968 in words is "two hundred forty-six million, six hundred seventy-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 458 687 916 1374 1832 2061 2748 4122 4987 5496 6183 8244 9974 12366 14961 16488 19948 24732 29922 39896 44883 49464 59844 89766 119688 134649 179532 269298 359064 538596 1077192 1142023 2284046 3426069 4568092 6852138 9136184 10278207 13704276 20556414 27408552 30834621 41112828 61669242 82225656 123338484 246676968