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235052384 = 2571935437
BaseRepresentation
bin11100000001010…
…01110101100000
3121101021220020212
432000221311200
5440133134014
635153553252
75552624630
oct1600516540
9541256225
10235052384
11110754376
1266875828
133990ab68
14233086c0
151598023e
hexe029d60

235052384 has 48 divisors (see below), whose sum is σ = 531705888. Its totient is φ = 100196352.

The previous prime is 235052381. The next prime is 235052399. The reversal of 235052384 is 483250532.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 235052384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235052381) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 40514 + ... + 45950.

It is an arithmetic number, because the mean of its divisors is an integer number (11077206).

Almost surely, 2235052384 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 235052384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265852944).

235052384 is an abundant number, since it is smaller than the sum of its proper divisors (296653504).

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

235052384 is a wasteful number, since it uses less digits than its factorization.

235052384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5647 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 235052384 is about 15331.4181992404. The cubic root of 235052384 is about 617.1464286324.

The spelling of 235052384 in words is "two hundred thirty-five million, fifty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 193 224 386 772 1351 1544 2702 3088 5404 5437 6176 10808 10874 21616 21748 38059 43232 43496 76118 86992 152236 173984 304472 608944 1049341 1217888 2098682 4197364 7345387 8394728 14690774 16789456 29381548 33578912 58763096 117526192 235052384