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42366168 = 23321345263
BaseRepresentation
bin1010000110011…
…1010011011000
32221201102110100
42201213103120
541321204133
64112015400
71023051345
oct241472330
987642410
1042366168
1121a07369
1212231560
138a14850
1458ab7cc
153abce13
hex28674d8

42366168 has 48 divisors (see below), whose sum is σ = 123570720. Its totient is φ = 13035456.

The previous prime is 42366139. The next prime is 42366169. The reversal of 42366168 is 86166324.

42366168 is a `hidden beast` number, since 4 + 2 + 36 + 616 + 8 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42366169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21696 + ... + 23567.

It is an arithmetic number, because the mean of its divisors is an integer number (2574390).

Almost surely, 242366168 is an apocalyptic number.

It is an amenable number.

42366168 is an abundant number, since it is smaller than the sum of its proper divisors (81204552).

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

42366168 is a wasteful number, since it uses less digits than its factorization.

42366168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45288 (or 45281 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42366168 is about 6508.9298659611. The cubic root of 42366168 is about 348.6099094334.

It can be divided in two parts, 4236 and 6168, that added together give a square (10404 = 1022).

The spelling of 42366168 in words is "forty-two million, three hundred sixty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45263 90526 135789 181052 271578 362104 407367 543156 588419 814734 1086312 1176838 1629468 1765257 2353676 3258936 3530514 4707352 5295771 7061028 10591542 14122056 21183084 42366168