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235424742 = 23743612137
BaseRepresentation
bin11100000100001…
…00101111100110
3121101222211000220
432002010233212
5440232042432
635205545210
75556035340
oct1602045746
9541884026
10235424742
11110989103
1266a15206
1339a0b4a7
14233a4290
1515a0572c
hexe084be6

235424742 has 64 divisors (see below), whose sum is σ = 559916544. Its totient is φ = 64592640.

The previous prime is 235424689. The next prime is 235424771. The reversal of 235424742 is 247424532.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 109098 + ... + 111234.

It is an arithmetic number, because the mean of its divisors is an integer number (8748696).

Almost surely, 2235424742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235424742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279958272).

235424742 is an abundant number, since it is smaller than the sum of its proper divisors (324491802).

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

235424742 is a wasteful number, since it uses less digits than its factorization.

235424742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2253.

The product of its digits is 53760, while the sum is 33.

The square root of 235424742 is about 15343.5570191530. The cubic root of 235424742 is about 617.4721406675.

The spelling of 235424742 in words is "two hundred thirty-five million, four hundred twenty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 43 61 86 122 129 183 258 301 366 427 602 854 903 1281 1806 2137 2562 2623 4274 5246 6411 7869 12822 14959 15738 18361 29918 36722 44877 55083 89754 91891 110166 130357 183782 260714 275673 391071 551346 643237 782142 912499 1286474 1824998 1929711 2737497 3859422 5474994 5605351 11210702 16816053 33632106 39237457 78474914 117712371 235424742