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239305248 = 253271323397
BaseRepresentation
bin11100100001110…
…00001000100000
3121200021222002100
432100320020200
5442230231443
635425050400
75634026640
oct1620701040
9550258070
10239305248
11113099636
1268186a00
133a769850
1423ad4520
15160203d3
hexe438220

239305248 has 288 divisors, whose sum is σ = 876185856. Its totient is φ = 60217344.

The previous prime is 239305219. The next prime is 239305267. The reversal of 239305248 is 842503932.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602586 + ... + 602982.

It is an arithmetic number, because the mean of its divisors is an integer number (3042312).

Almost surely, 2239305248 is an apocalyptic number.

239305248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239305248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438092928).

239305248 is an abundant number, since it is smaller than the sum of its proper divisors (636880608).

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

239305248 is a wasteful number, since it uses less digits than its factorization.

239305248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 239305248 is about 15469.4941093754. The cubic root of 239305248 is about 620.8462671880.

The spelling of 239305248 in words is "two hundred thirty-nine million, three hundred five thousand, two hundred forty-eight".