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42228846 = 23211271787
BaseRepresentation
bin1010000100010…
…1110001101110
32221110110002100
42201011301232
541302310341
64105035530
71021640112
oct241056156
987413070
1042228846
1121923180
1212185ba6
1389971aa
145873742
153a923b6
hex2845c6e

42228846 has 48 divisors (see below), whose sum is σ = 100309248. Its totient is φ = 12733200.

The previous prime is 42228839. The next prime is 42228847. The reversal of 42228846 is 64882224.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42228846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42228847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53265 + ... + 54051.

It is an arithmetic number, because the mean of its divisors is an integer number (2089776).

Almost surely, 242228846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42228846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50154624).

42228846 is an abundant number, since it is smaller than the sum of its proper divisors (58080402).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42228846 is a wasteful number, since it uses less digits than its factorization.

42228846 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1074 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 42228846 is about 6498.3725654967. The cubic root of 42228846 is about 348.2328505042.

The spelling of 42228846 in words is "forty-two million, two hundred twenty-eight thousand, eight hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 271 542 787 813 1574 1626 2361 2439 2981 4722 4878 5962 7083 8657 8943 14166 17314 17886 25971 26829 51942 53658 77913 155826 213277 426554 639831 1279662 1919493 2346047 3838986 4692094 7038141 14076282 21114423 42228846