Base | Representation |
---|---|
bin | 1001000111011… |
… | …0011101010000 |
3 | 2122221111002201 |
4 | 2101312131100 |
5 | 34241441221 |
6 | 3443252544 |
7 | 642661126 |
oct | 221663520 |
9 | 78844081 |
10 | 38233936 |
11 | 1a6447a4 |
12 | 1097a154 |
13 | 7bc8a40 |
14 | 5113916 |
15 | 3553891 |
hex | 2476750 |
38233936 has 40 divisors (see below), whose sum is σ = 81494784. Its totient is φ = 17266560.
The previous prime is 38233933. The next prime is 38233939. The reversal of 38233936 is 63933283.
It is an interprime number because it is at equal distance from previous prime (38233933) and next prime (38233939).
It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 38233895 and 38233904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38233933) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7821 + ... + 11731.
Almost surely, 238233936 is an apocalyptic number.
38233936 is the 3911-st heptagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38233936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40747392).
38233936 is an abundant number, since it is smaller than the sum of its proper divisors (43260848).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38233936 is a wasteful number, since it uses less digits than its factorization.
38233936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3979 (or 3973 counting only the distinct ones).
The product of its digits is 69984, while the sum is 37.
The square root of 38233936 is about 6183.3596046162. The cubic root of 38233936 is about 336.8860307232.
It can be divided in two parts, 382339 and 36, that added together give a triangular number (382375 = T874).
The spelling of 38233936 in words is "thirty-eight million, two hundred thirty-three thousand, nine hundred thirty-six".
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