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66793748 = 22717236101
BaseRepresentation
bin1111111011001…
…1000100010100
311122200110210112
43332303010110
5114044344443
610343342152
71440510650
oct376630424
9148613715
1066793748
113478114a
121a451958
1310ab8338
148c29a60
155ce5b18
hex3fb3114

66793748 has 48 divisors (see below), whose sum is σ = 147619584. Its totient is φ = 25766400.

The previous prime is 66793739. The next prime is 66793777. The reversal of 66793748 is 84739766.

It is a super-2 number, since 2×667937482 = 8922809543775008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66793696 and 66793705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7898 + ... + 13998.

It is an arithmetic number, because the mean of its divisors is an integer number (3075408).

Almost surely, 266793748 is an apocalyptic number.

66793748 is a gapful number since it is divisible by the number (68) 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 66793748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73809792).

66793748 is an abundant number, since it is smaller than the sum of its proper divisors (80825836).

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

66793748 is a wasteful number, since it uses less digits than its factorization.

66793748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6150 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 50.

The square root of 66793748 is about 8172.7442147665. The cubic root of 66793748 is about 405.7376142819.

The spelling of 66793748 in words is "sixty-six million, seven hundred ninety-three thousand, seven hundred forty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 119 161 238 322 391 476 644 782 1564 2737 5474 6101 10948 12202 24404 42707 85414 103717 140323 170828 207434 280646 414868 561292 726019 982261 1452038 1964522 2385491 2904076 3929044 4770982 9541964 16698437 33396874 66793748