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90234648 = 2335719349
BaseRepresentation
bin1010110000011…
…01111100011000
320021210101200000
411120031330120
5141100002043
612542013000
72143660530
oct530157430
9207711600
1090234648
1146a31699
1226277160
13159049aa
14bdac4c0
157dc62d3
hex560df18

90234648 has 192 divisors, whose sum is σ = 305760000. Its totient is φ = 24354432.

The previous prime is 90234619. The next prime is 90234649. The reversal of 90234648 is 84643209.

It is a happy number.

90234648 is a `hidden beast` number, since 9 + 0 + 2 + 3 + 4 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90234649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 258378 + ... + 258726.

It is an arithmetic number, because the mean of its divisors is an integer number (1592500).

Almost surely, 290234648 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 90234648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152880000).

90234648 is an abundant number, since it is smaller than the sum of its proper divisors (215525352).

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

90234648 is a wasteful number, since it uses less digits than its factorization.

90234648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90234648 is about 9499.1919656358. The cubic root of 90234648 is about 448.5296006235.

The spelling of 90234648 in words is "ninety million, two hundred thirty-four thousand, six hundred forty-eight".