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68868432 = 2432478253
BaseRepresentation
bin1000001101011…
…01100101010000
311210120212201200
410012231211100
5120112242212
610500031200
71464241413
oct406554520
9153525650
1068868432
1135968966
121b092500
1311363769
149209b7a
1560a56dc
hex41ad950

68868432 has 30 divisors (see below), whose sum is σ = 192736362. Its totient is φ = 22956096.

The previous prime is 68868409. The next prime is 68868491. The reversal of 68868432 is 23486886.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 45481536 + 23386896 = 6744^2 + 4836^2 .

It is a super-2 number, since 2×688684322 = 9485721852277248, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238983 + ... + 239270.

Almost surely, 268868432 is an apocalyptic number.

It is an amenable number.

68868432 is an abundant number, since it is smaller than the sum of its proper divisors (123867930).

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

68868432 is a wasteful number, since it uses less digits than its factorization.

68868432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478267 (or 478258 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 68868432 is about 8298.7006211816. The cubic root of 68868432 is about 409.8957339467.

The spelling of 68868432 in words is "sixty-eight million, eight hundred sixty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 478253 956506 1434759 1913012 2869518 3826024 4304277 5739036 7652048 8608554 11478072 17217108 22956144 34434216 68868432