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238633038 = 23272416599
BaseRepresentation
bin11100011100101…
…00000001001110
3121122000210222200
432032110001032
5442042224123
635402422330
75625230100
oct1616240116
9548023880
10238633038
1111277a596
1267b019a6
133a5928a7
142399b570
1515e3b143
hexe39404e

238633038 has 72 divisors (see below), whose sum is σ = 616215600. Its totient is φ = 66507840.

The previous prime is 238633019. The next prime is 238633049. The reversal of 238633038 is 830336832.

It is a junction number, because it is equal to n+sod(n) for n = 238632993 and 238633011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32863 + ... + 39461.

It is an arithmetic number, because the mean of its divisors is an integer number (8558550).

Almost surely, 2238633038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238633038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308107800).

238633038 is an abundant number, since it is smaller than the sum of its proper divisors (377582562).

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

238633038 is a wasteful number, since it uses less digits than its factorization.

238633038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662 (or 6652 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 238633038 is about 15447.7518752730. The cubic root of 238633038 is about 620.2644016235.

The spelling of 238633038 in words is "two hundred thirty-eight million, six hundred thirty-three thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 49 63 82 98 123 126 147 246 287 294 369 441 574 738 861 882 1722 2009 2583 4018 5166 6027 6599 12054 13198 18081 19797 36162 39594 46193 59391 92386 118782 138579 270559 277158 323351 415737 541118 646702 811677 831474 970053 1623354 1893913 1940106 2435031 2910159 3787826 4870062 5681739 5820318 11363478 13257391 17045217 26514782 34090434 39772173 79544346 119316519 238633038