| Base | Representation |
|---|---|
| bin | 1010000100000… |
| … | …1100100110110 |
| 3 | 2221102120111000 |
| 4 | 2201001210312 |
| 5 | 41301233023 |
| 6 | 4104424130 |
| 7 | 1021536000 |
| oct | 241014466 |
| 9 | 87376430 |
| 10 | 42211638 |
| 11 | 21911257 |
| 12 | 12178046 |
| 13 | 898c401 |
| 14 | 586b370 |
| 15 | 3a8c243 |
| hex | 2841936 |
42211638 has 128 divisors (see below), whose sum is σ = 114048000. Its totient is φ = 11557728.
The previous prime is 42211633. The next prime is 42211643. The reversal of 42211638 is 83611224.
42211638 is a `hidden beast` number, since 4 + 2 + 21 + 1 + 638 = 666.
It is an interprime number because it is at equal distance from previous prime (42211633) and next prime (42211643).
It is a hoax number, since the sum of its digits (27) 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 (27).
Its product of digits (2304) is a multiple of the sum of its prime factors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (42211633) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796420 + ... + 796472.
It is an arithmetic number, because the mean of its divisors is an integer number (891000).
Almost surely, 242211638 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42211638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57024000).
42211638 is an abundant number, since it is smaller than the sum of its proper divisors (71836362).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42211638 is a wasteful number, since it uses less digits than its factorization.
42211638 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 128 (or 108 counting only the distinct ones).
The product of its digits is 2304, while the sum is 27.
The square root of 42211638 is about 6497.0484067767. The cubic root of 42211638 is about 348.1855431491.
It can be divided in two parts, 42211 and 638, that added together give a square (42849 = 2072).
The spelling of 42211638 in words is "forty-two million, two hundred eleven thousand, six hundred thirty-eight".
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