Base | Representation |
---|---|
bin | 1001001001001… |
… | …1101010000000 |
3 | 2200011120011100 |
4 | 2102103222000 |
5 | 34304303121 |
6 | 3450014400 |
7 | 643666614 |
oct | 222235200 |
9 | 80146140 |
10 | 38353536 |
11 | 1a716641 |
12 | 10a17400 |
13 | 7c3b300 |
14 | 5145344 |
15 | 3579026 |
hex | 2493a80 |
38353536 has 144 divisors (see below), whose sum is σ = 120115710. Its totient is φ = 11741184.
The previous prime is 38353519. The next prime is 38353537. The reversal of 38353536 is 63535383.
It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 7617600 = 5544^2 + 2760^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (97200) is a multiple of the sum of its prime factors (243).
It is a self number, because there is not a number n which added to its sum of digits gives 38353536.
It is not an unprimeable number, because it can be changed into a prime (38353537) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 194590 + ... + 194786.
Almost surely, 238353536 is an apocalyptic number.
38353536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38353536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60057855).
38353536 is an abundant number, since it is smaller than the sum of its proper divisors (81762174).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38353536 is a wasteful number, since it uses less digits than its factorization.
38353536 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 243 (or 215 counting only the distinct ones).
The product of its digits is 97200, while the sum is 36.
The square root of 38353536 is about 6193.0231712791. The cubic root of 38353536 is about 337.2369373973.
The spelling of 38353536 in words is "thirty-eight million, three hundred fifty-three thousand, five hundred thirty-six".
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