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68842656 = 25331743109
BaseRepresentation
bin1000001101001…
…11010010100000
311210112120101000
410012213102200
5120110431111
610455312000
71464103311
oct406472240
9153476330
1068842656
1135950563
121b07b600
1311354acc
149200608
15609cc56
hex41a74a0

68842656 has 192 divisors, whose sum is σ = 219542400. Its totient is φ = 20901888.

The previous prime is 68842633. The next prime is 68842679. The reversal of 68842656 is 65624886.

It is an interprime number because it is at equal distance from previous prime (68842633) and next prime (68842679).

It is a super-2 number, since 2×688426562 = 9478622570268672, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631530 + ... + 631638.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 268842656 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 68842656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

68842656 is an abundant number, since it is smaller than the sum of its proper divisors (150699744).

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

68842656 is a wasteful number, since it uses less digits than its factorization.

68842656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 68842656 is about 8297.1474616280. The cubic root of 68842656 is about 409.8445891258.

It can be divided in two parts, 68 and 842656, that added together give a square (842724 = 9182).

The spelling of 68842656 in words is "sixty-eight million, eight hundred forty-two thousand, six hundred fifty-six".