| Base | Representation |
|---|---|
| bin | 1001000111001… |
| … | …0011101011100 |
| 3 | 2122220122122100 |
| 4 | 2101302131130 |
| 5 | 34240430224 |
| 6 | 3443045100 |
| 7 | 642562320 |
| oct | 221623534 |
| 9 | 78818570 |
| 10 | 38217564 |
| 11 | 1a633470 |
| 12 | 10970790 |
| 13 | 7bc1458 |
| 14 | 510b980 |
| 15 | 354dac9 |
| hex | 247275c |
38217564 has 144 divisors (see below), whose sum is σ = 127685376. Its totient is φ = 9331200.
The previous prime is 38217551. The next prime is 38217587. The reversal of 38217564 is 46571283.
38217564 is a `hidden beast` number, since 3 + 82 + 17 + 564 = 666.
38217564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 47 ways as a sum of consecutive naturals, for example, 46719 + ... + 47529.
It is an arithmetic number, because the mean of its divisors is an integer number (886704).
Almost surely, 238217564 is an apocalyptic number.
38217564 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 38217564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63842688).
38217564 is an abundant number, since it is smaller than the sum of its proper divisors (89467812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38217564 is a wasteful number, since it uses less digits than its factorization.
38217564 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 856 (or 851 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 38217564 is about 6182.0355870862. The cubic root of 38217564 is about 336.8379383205.
It can be divided in two parts, 38217 and 564, that added together give a triangular number (38781 = T278).
The spelling of 38217564 in words is "thirty-eight million, two hundred seventeen thousand, five hundred sixty-four".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.123 sec. • engine limits •