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78668032 = 28487631
BaseRepresentation
bin1001011000001…
…10000100000000
312111000202020211
410230012010000
5130114334112
611450043504
71643444602
oct454060400
9174022224
1078668032
1140451503
1222419594
13133b5041
14a63b172
156d8e0a7
hex4b06100

78668032 has 36 divisors (see below), whose sum is σ = 157600576. Its totient is φ = 39191040.

The previous prime is 78667951. The next prime is 78668033. The reversal of 78668032 is 23086687.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (78668033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 124357 + ... + 124987.

Almost surely, 278668032 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 78668032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78800288).

78668032 is an abundant number, since it is smaller than the sum of its proper divisors (78932544).

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

78668032 is an equidigital number, since it uses as much as digits as its factorization.

78668032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 78668032 is about 8869.5000986527. The cubic root of 78668032 is about 428.4821770546.

The spelling of 78668032 in words is "seventy-eight million, six hundred sixty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 487 631 974 1262 1948 2524 3896 5048 7792 10096 15584 20192 31168 40384 62336 80768 124672 161536 307297 614594 1229188 2458376 4916752 9833504 19667008 39334016 78668032