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78982848 = 26327191031
BaseRepresentation
bin1001011010100…
…10111011000000
312111121202002200
410231102323000
5130204422343
611500513200
71646225460
oct455227300
9174552080
1078982848
1140646a8a
122254b800
1313495419
14a6bdba0
156e024d3
hex4b52ec0

78982848 has 168 divisors, whose sum is σ = 272613120. Its totient is φ = 21358080.

The previous prime is 78982847. The next prime is 78982859. The reversal of 78982848 is 84828987.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×789828482 = 12476580556382208, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 78982794 and 78982803.

It is not an unprimeable number, because it can be changed into a prime (78982843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76093 + ... + 77123.

Almost surely, 278982848 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 78982848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136306560).

78982848 is an abundant number, since it is smaller than the sum of its proper divisors (193630272).

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

78982848 is a wasteful number, since it uses less digits than its factorization.

78982848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1062 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 78982848 is about 8887.2294895541. The cubic root of 78982848 is about 429.0529870816.

The spelling of 78982848 in words is "seventy-eight million, nine hundred eighty-two thousand, eight hundred forty-eight".