| Base | Representation |
|---|---|
| bin | 1001001001010… |
| … | …0000101000000 |
| 3 | 2200011122112100 |
| 4 | 2102110011000 |
| 5 | 34304332024 |
| 6 | 3450030400 |
| 7 | 644004633 |
| oct | 222240500 |
| 9 | 80148470 |
| 10 | 38355264 |
| 11 | 1a717972 |
| 12 | 10a18400 |
| 13 | 7c3c02c |
| 14 | 5145c1a |
| 15 | 35797c9 |
| hex | 2494140 |
38355264 has 84 divisors (see below), whose sum is σ = 116435124. Its totient is φ = 12029952.
The previous prime is 38355263. The next prime is 38355271. The reversal of 38355264 is 46255383.
It is a happy number.
It can be written as a sum of positive squares in 2 ways, for example, as 30470400 + 7884864 = 5520^2 + 2808^2 .
It is a super-2 number, since 2×383552642 = 2942252553019392, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38355263) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7834 + ... + 11750.
Almost surely, 238355264 is an apocalyptic number.
38355264 is a gapful number since it is divisible by the number (34) 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 38355264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58217562).
38355264 is an abundant number, since it is smaller than the sum of its proper divisors (78079860).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38355264 is a wasteful number, since it uses less digits than its factorization.
38355264 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3952 (or 3939 counting only the distinct ones).
The product of its digits is 86400, while the sum is 36.
The square root of 38355264 is about 6193.1626815384. The cubic root of 38355264 is about 337.2420020036.
It can be divided in two parts, 383 and 55264, that multiplied together give a palindrome (21166112).
The spelling of 38355264 in words is "thirty-eight million, three hundred fifty-five thousand, two hundred sixty-four".
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