| Base | Representation |
|---|---|
| bin | 100011101000011010… |
| … | …101001010100000000 |
| 3 | 10122202100010110211200 |
| 4 | 203220122221110000 |
| 5 | 1111323303144230 |
| 6 | 25324223541200 |
| 7 | 2523044311131 |
| oct | 435032512400 |
| 9 | 118670113750 |
| 10 | 38259037440 |
| 11 | 15253258108 |
| 12 | 74b8a5a800 |
| 13 | 37b94932c0 |
| 14 | 1bcd2a1c88 |
| 15 | eddc41160 |
| hex | 8e86a9500 |
38259037440 has 216 divisors, whose sum is σ = 142555325640. Its totient is φ = 9417572352.
The previous prime is 38259037433. The next prime is 38259037447. The reversal of 38259037440 is 4473095283.
It is an interprime number because it is at equal distance from previous prime (38259037433) and next prime (38259037447).
It can be written as a sum of positive squares in 4 ways, for example, as 392990976 + 37866046464 = 19824^2 + 194592^2 .
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38259037447) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 22026 + ... + 277494.
Almost surely, 238259037440 is an apocalyptic number.
38259037440 is a gapful number since it is divisible by the number (30) 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 38259037440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71277662820).
38259037440 is an abundant number, since it is smaller than the sum of its proper divisors (104296288200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38259037440 is a wasteful number, since it uses less digits than its factorization.
38259037440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 255509 (or 255492 counting only the distinct ones).
The product of its (nonzero) digits is 725760, while the sum is 45.
The spelling of 38259037440 in words is "thirty-eight billion, two hundred fifty-nine million, thirty-seven thousand, four hundred forty".
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