| Base | Representation |
|---|---|
| bin | 110100101111… |
| … | …011010011100 |
| 3 | 222000102021200 |
| 4 | 310233122130 |
| 5 | 12014410232 |
| 6 | 1212155500 |
| 7 | 225342066 |
| oct | 64573234 |
| 9 | 28012250 |
| 10 | 13825692 |
| 11 | 78934a1 |
| 12 | 4768b90 |
| 13 | 2b30caa |
| 14 | 1b9c736 |
| 15 | 133177c |
| hex | d2f69c |
13825692 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3870720.
The previous prime is 13825687. The next prime is 13825697. The reversal of 13825692 is 29652831.
13825692 is a `hidden beast` number, since 13 + 82 + 569 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (13825687) and next prime (13825697).
It is a super-3 number, since 3×138256923 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
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 (13825697) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337192 + ... + 337232.
It is an arithmetic number, because the mean of its divisors is an integer number (286650).
Almost surely, 213825692 is an apocalyptic number.
13825692 is a gapful number since it is divisible by the number (12) 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 13825692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).
13825692 is an abundant number, since it is smaller than the sum of its proper divisors (27451908).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13825692 is a wasteful number, since it uses less digits than its factorization.
13825692 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 111 counting only the distinct ones).
The product of its digits is 25920, while the sum is 36.
The square root of 13825692 is about 3718.2915431687. The cubic root of 13825692 is about 240.0097912672.
The spelling of 13825692 in words is "thirteen million, eight hundred twenty-five thousand, six hundred ninety-two".
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