Search a number
-
+
86298048 = 263531179
BaseRepresentation
bin1010010010011…
…00110111000000
320000101101200000
411021030313000
5134043014143
612321400000
72065343544
oct511146700
9200341600
1086298048
1144793001
1224a99000
1314b56c45
14b665a24
157899bd3
hex524cdc0

86298048 has 168 divisors, whose sum is σ = 266273280. Its totient is φ = 27682560.

The previous prime is 86298031. The next prime is 86298131. The reversal of 86298048 is 84089268.

It is a happy number.

It is a super-2 number, since 2×862980482 = 14894706177220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86297994 and 86298012.

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 23 ways as a sum of consecutive naturals, for example, 482023 + ... + 482201.

It is an arithmetic number, because the mean of its divisors is an integer number (1584960).

Almost surely, 286298048 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 86298048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133136640).

86298048 is an abundant number, since it is smaller than the sum of its proper divisors (179975232).

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

86298048 is a wasteful number, since it uses less digits than its factorization.

86298048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 86298048 is about 9289.6742677017. The cubic root of 86298048 is about 441.9098251100.

The spelling of 86298048 in words is "eighty-six million, two hundred ninety-eight thousand, forty-eight".