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6242112 = 263210837
BaseRepresentation
bin10111110011111101000000
3102202010120100
4113303331000
53044221422
6341442400
7104025402
oct27637500
912663510
106242112
113583878
122110400
1313a7276
14b86b72
158347ac
hex5f3f40

6242112 has 42 divisors (see below), whose sum is σ = 17893538. Its totient is φ = 2080512.

The previous prime is 6242087. The next prime is 6242113. The reversal of 6242112 is 2112426.

It can be written as a sum of positive squares in only one way, i.e., 4562496 + 1679616 = 2136^2 + 1296^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6242113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4843 + ... + 5994.

Almost surely, 26242112 is an apocalyptic number.

It is an amenable number.

6242112 is an abundant number, since it is smaller than the sum of its proper divisors (11651426).

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

6242112 is a wasteful number, since it uses less digits than its factorization.

6242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10855 (or 10842 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 6242112 is about 2498.4219019213. The cubic root of 6242112 is about 184.1240499341.

Adding to 6242112 its reverse (2112426), we get a palindrome (8354538).

The spelling of 6242112 in words is "six million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10837 21674 32511 43348 65022 86696 97533 130044 173392 195066 260088 346784 390132 520176 693568 780264 1040352 1560528 2080704 3121056 6242112