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68001792 = 21332767
BaseRepresentation
bin1000000110110…
…10000000000000
311201221211220220
410003122000000
5114402024132
610425303040
71454001645
oct403320000
9151854826
1068001792
1135426831
121a934a80
131111c161
149061dcc
155e83a2c
hex40da000

68001792 has 56 divisors (see below), whose sum is σ = 181392576. Its totient is φ = 22659072.

The previous prime is 68001761. The next prime is 68001803. The reversal of 68001792 is 29710086.

It is a super-2 number, since 2×680017922 = 9248487430422528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23193 + ... + 25959.

Almost surely, 268001792 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 68001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90696288).

68001792 is an abundant number, since it is smaller than the sum of its proper divisors (113390784).

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

68001792 is an equidigital number, since it uses as much as digits as its factorization.

68001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 68001792 is about 8246.3199064795. The cubic root of 68001792 is about 408.1690956141.

The spelling of 68001792 in words is "sixty-eight million, one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2767 3072 4096 5534 6144 8192 8301 11068 12288 16602 22136 24576 33204 44272 66408 88544 132816 177088 265632 354176 531264 708352 1062528 1416704 2125056 2833408 4250112 5666816 8500224 11333632 17000448 22667264 34000896 68001792