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8238048 = 2537132341
BaseRepresentation
bin11111011011001111100000
3120111112110220
4133123033200
54102104143
6452323040
7130010430
oct37331740
916445426
108238048
114717405
122913480
1319258b0
1411462c0
15acad83
hex7db3e0

8238048 has 192 divisors, whose sum is σ = 28449792. Its totient is φ = 2027520.

The previous prime is 8238029. The next prime is 8238053. The reversal of 8238048 is 8408328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200908 + ... + 200948.

It is an arithmetic number, because the mean of its divisors is an integer number (148176).

Almost surely, 28238048 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 8238048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14224896).

8238048 is an abundant number, since it is smaller than the sum of its proper divisors (20211744).

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

8238048 is a wasteful number, since it uses less digits than its factorization.

8238048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 8238048 is about 2870.1999930318. The cubic root of 8238048 is about 201.9643762948.

It can be divided in two parts, 82380 and 48, that added together give a palindrome (82428).

The spelling of 8238048 in words is "eight million, two hundred thirty-eight thousand, forty-eight".