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235419048 = 2334418861
BaseRepresentation
bin11100000100000…
…11010110101000
3121101222112020000
432002003112220
5440231402143
635205503000
75556012624
oct1602032650
9541875200
10235419048
111109848a7
1266a11a60
1339a08a17
14233a2184
1515a03bd3
hexe0835a8

235419048 has 80 divisors (see below), whose sum is σ = 675550260. Its totient is φ = 76550400.

The previous prime is 235419047. The next prime is 235419059. The reversal of 235419048 is 840914532.

235419048 is a `hidden beast` number, since 23 + 541 + 90 + 4 + 8 = 666.

235419048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 234641124 + 777924 = 15318^2 + 882^2 .

It is a super-2 number, since 2×2354190482 = 110844256322452608, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (235419047) 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 19 ways as a sum of consecutive naturals, for example, 22138 + ... + 30998.

Almost surely, 2235419048 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 235419048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337775130).

235419048 is an abundant number, since it is smaller than the sum of its proper divisors (440131212).

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

235419048 is a wasteful number, since it uses less digits than its factorization.

235419048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8920 (or 8907 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 235419048 is about 15343.3714678359. The cubic root of 235419048 is about 617.4671625520.

The spelling of 235419048 in words is "two hundred thirty-five million, four hundred nineteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2214 2952 3321 4428 6642 8856 8861 13284 17722 26568 26583 35444 53166 70888 79749 106332 159498 212664 239247 318996 363301 478494 637992 717741 726602 956988 1089903 1435482 1453204 1913976 2179806 2870964 2906408 3269709 4359612 5741928 6539418 8719224 9809127 13078836 19618254 26157672 29427381 39236508 58854762 78473016 117709524 235419048