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4246242 = 23721113101
BaseRepresentation
bin10000001100101011100010
321222201202020
4100030223202
52041334432
6231002310
751043500
oct20145342
97881666
104246242
1124402a0
121509396
13b58990
147c7670
1558d22c
hex40cae2

4246242 has 96 divisors (see below), whose sum is σ = 11721024. Its totient is φ = 1008000.

The previous prime is 4246241. The next prime is 4246273. The reversal of 4246242 is 2426424.

It is a super-2 number, since 2×42462422 = 36061142245128, which contains 22 as substring.

It is a d-powerful number, because it can be written as 45 + 2 + 46 + 66 + 25 + 411 + 27 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4246241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41992 + ... + 42092.

It is an arithmetic number, because the mean of its divisors is an integer number (122094).

Almost surely, 24246242 is an apocalyptic number.

4246242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4246242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512).

4246242 is an abundant number, since it is smaller than the sum of its proper divisors (7474782).

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

4246242 is a wasteful number, since it uses less digits than its factorization.

4246242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 137 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 4246242 is about 2060.6411623570. The cubic root of 4246242 is about 161.9328330000.

It can be divided in two parts, 424 and 6242, that added together give a palindrome (6666).

The spelling of 4246242 in words is "four million, two hundred forty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 101 143 147 154 182 202 231 273 286 294 303 429 462 539 546 606 637 707 858 1001 1078 1111 1274 1313 1414 1617 1911 2002 2121 2222 2626 3003 3234 3333 3822 3939 4242 4949 6006 6666 7007 7777 7878 9191 9898 14014 14443 14847 15554 18382 21021 23331 27573 28886 29694 42042 43329 46662 54439 55146 64337 86658 101101 108878 128674 163317 193011 202202 303303 326634 386022 606606 707707 1415414 2123121 4246242