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68649696 = 2532349683
BaseRepresentation
bin1000001011110…
…00001011100000
311210011202200100
410011320023200
5120033242241
610451222400
71462340613
oct405701340
9153152610
1068649696
1135829595
121aba7a00
13112b802b
14919017a
1560609b6
hex41782e0

68649696 has 72 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 22784256.

The previous prime is 68649677. The next prime is 68649697. The reversal of 68649696 is 69694686.

It is a happy number.

68649696 is a `hidden beast` number, since 68 + 6 + 496 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68649697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100171 + ... + 100853.

It is an arithmetic number, because the mean of its divisors is an integer number (2723175).

Almost surely, 268649696 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 68649696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

68649696 is an abundant number, since it is smaller than the sum of its proper divisors (127418904).

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

68649696 is a wasteful number, since it uses less digits than its factorization.

68649696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1037 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 68649696 is about 8285.5112093340. The cubic root of 68649696 is about 409.4613111798.

The spelling of 68649696 in words is "sixty-eight million, six hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 349 683 698 1047 1366 1396 2049 2094 2732 2792 3141 4098 4188 5464 5584 6147 6282 8196 8376 10928 11168 12294 12564 16392 16752 21856 24588 25128 32784 33504 49176 50256 65568 98352 100512 196704 238367 476734 715101 953468 1430202 1906936 2145303 2860404 3813872 4290606 5720808 7627744 8581212 11441616 17162424 22883232 34324848 68649696