Search a number
-
+
42230454 = 23723792
BaseRepresentation
bin1010000100011…
…0001010110110
32221110112021220
42201012022312
541302333304
64105051210
71021644600
oct241061266
987415256
1042230454
1121924402
1212186b06
138997b46
145874170
153a92ad9
hex28462b6

42230454 has 36 divisors (see below), whose sum is σ = 98510364. Its totient is φ = 12034008.

The previous prime is 42230443. The next prime is 42230479. The reversal of 42230454 is 45403224.

It is a super-2 number, since 2×422304542 = 3566822490092232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111237 + ... + 111615.

It is an arithmetic number, because the mean of its divisors is an integer number (2736399).

Almost surely, 242230454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42230454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49255182).

42230454 is an abundant number, since it is smaller than the sum of its proper divisors (56279910).

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

42230454 is an equidigital number, since it uses as much as digits as its factorization.

42230454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 42230454 is about 6498.4962876038. The cubic root of 42230454 is about 348.2372704790.

Multiplying 42230454 by its sum of digits (24), we get a square (1013530896 = 318362).

Adding to 42230454 its reverse (45403224), we get a palindrome (87633678).

It can be divided in two parts, 422 and 30454, that added together give a triangular number (30876 = T248).

The spelling of 42230454 in words is "forty-two million, two hundred thirty thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 379 758 1137 2274 2653 5306 7959 15918 18571 37142 55713 111426 143641 287282 430923 861846 1005487 2010974 3016461 6032922 7038409 14076818 21115227 42230454