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42366992 = 24171091429
BaseRepresentation
bin1010000110011…
…1100000010000
32221201110120212
42201213200100
541321220432
64112023252
71023053633
oct241474020
987643525
1042366992
1121a07a48
1212231b28
138a15035
1458abc1a
153abd2b2
hex2867810

42366992 has 40 divisors (see below), whose sum is σ = 87773400. Its totient is φ = 19740672.

The previous prime is 42366991. The next prime is 42367021. The reversal of 42366992 is 29966324.

It can be written as a sum of positive squares in 4 ways, for example, as 5837056 + 36529936 = 2416^2 + 6044^2 .

It is a super-2 number, since 2×423669922 = 3589924022256128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42366991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28934 + ... + 30362.

It is an arithmetic number, because the mean of its divisors is an integer number (2194335).

Almost surely, 242366992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42366992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43886700).

42366992 is an abundant number, since it is smaller than the sum of its proper divisors (45406408).

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

42366992 is a wasteful number, since it uses less digits than its factorization.

42366992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1563 (or 1557 counting only the distinct ones).

The product of its digits is 139968, while the sum is 41.

The square root of 42366992 is about 6508.9931633087. The cubic root of 42366992 is about 348.6121695127.

The spelling of 42366992 in words is "forty-two million, three hundred sixty-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1429 1744 1853 2858 3706 5716 7412 11432 14824 22864 24293 29648 48586 97172 155761 194344 311522 388688 623044 1246088 2492176 2647937 5295874 10591748 21183496 42366992