Base | Representation |
---|---|
bin | 1001001010111… |
… | …1111011000000 |
3 | 2200101102222100 |
4 | 2102233323000 |
5 | 34322004222 |
6 | 3452310400 |
7 | 644661300 |
oct | 222577300 |
9 | 80342870 |
10 | 38469312 |
11 | 1a795622 |
12 | 10a72400 |
13 | 7c7bc0b |
14 | 5175600 |
15 | 359d4ac |
hex | 24afec0 |
38469312 has 252 divisors, whose sum is σ = 135514080. Its totient is φ = 10386432.
The previous prime is 38469289. The next prime is 38469337. The reversal of 38469312 is 21396483.
38469312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (252).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
Its product of digits (31104) is a multiple of the sum of its prime factors (108).
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 35 ways as a sum of consecutive naturals, for example, 818473 + ... + 818519.
Almost surely, 238469312 is an apocalyptic number.
38469312 is a gapful number since it is divisible by the number (32) 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 38469312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67757040).
38469312 is an abundant number, since it is smaller than the sum of its proper divisors (97044768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38469312 is a wasteful number, since it uses less digits than its factorization.
38469312 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 108 (or 88 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The square root of 38469312 is about 6202.3634205035. The cubic root of 38469312 is about 337.5759302412.
It can be divided in two parts, 38469 and 312, that added together give a triangular number (38781 = T278).
The spelling of 38469312 in words is "thirty-eight million, four hundred sixty-nine thousand, three hundred twelve".
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