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68773536 = 2534132157
BaseRepresentation
bin1000001100101…
…10011010100000
311210102001120000
410012112122200
5120101223121
610454020000
71463364636
oct406263240
9153361500
1068773536
1135903637
121b047600
131132c500
1491c3356
156087526
hex41966a0

68773536 has 180 divisors, whose sum is σ = 220411422. Its totient is φ = 21026304.

The previous prime is 68773499. The next prime is 68773541. The reversal of 68773536 is 63537786.

It can be written as a sum of positive squares in 3 ways, for example, as 27248400 + 41525136 = 5220^2 + 6444^2 .

It is a junction number, because it is equal to n+sod(n) for n = 68773491 and 68773500.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 437970 + ... + 438126.

Almost surely, 268773536 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 68773536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110205711).

68773536 is an abundant number, since it is smaller than the sum of its proper divisors (151637886).

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

68773536 is a wasteful number, since it uses less digits than its factorization.

68773536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 175 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 68773536 is about 8292.9811286413. The cubic root of 68773536 is about 409.7073779556.

The spelling of 68773536 in words is "sixty-eight million, seven hundred seventy-three thousand, five hundred thirty-six".