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235390848 = 27371119419
BaseRepresentation
bin11100000011111…
…00011110000000
3121101221002112120
432001330132000
5440230001343
635205124240
75555534460
oct1601743600
9541832476
10235390848
111109656a0
12669b9680
13399c8c34
1423395ba0
15159ea683
hexe07c780

235390848 has 256 divisors, whose sum is σ = 822528000. Its totient is φ = 57784320.

The previous prime is 235390847. The next prime is 235390853. The reversal of 235390848 is 848093532.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235390847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561583 + ... + 562001.

It is an arithmetic number, because the mean of its divisors is an integer number (3213000).

Almost surely, 2235390848 is an apocalyptic number.

235390848 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 235390848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411264000).

235390848 is an abundant number, since it is smaller than the sum of its proper divisors (587137152).

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

235390848 is a wasteful number, since it uses less digits than its factorization.

235390848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 235390848 is about 15342.4524767066. The cubic root of 235390848 is about 617.4425068448.

The spelling of 235390848 in words is "two hundred thirty-five million, three hundred ninety thousand, eight hundred forty-eight".