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424242 = 232721337
BaseRepresentation
bin1100111100100110010
3210112221200
41213210302
5102033432
613032030
73414600
oct1474462
9715850
10424242
1126a815
12185616
1311b140
14b0870
1585a7c
hex67932

424242 has 72 divisors (see below), whose sum is σ = 1182636. Its totient is φ = 108864.

The previous prime is 424231. The next prime is 424243. The reversal of 424242 is 242424.

424242 is a `hidden beast` number, since 424 + 242 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 423801 + 441 = 651^2 + 21^2 .

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

424242 is an undulating number in base 10.

424242 is a modest number, since divided by 4242 gives 42 as remainder.

It is not an unprimeable number, because it can be changed into a prime (424243) by changing a digit.

424242 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11448 + ... + 11484.

2424242 is an apocalyptic number.

424242 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 424242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591318).

424242 is an abundant number, since it is smaller than the sum of its proper divisors (758394).

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

424242 is a wasteful number, since it uses less digits than its factorization.

424242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 62 counting only the distinct ones).

The product of its digits is 512, while the sum is 18.

The square root of 424242 is about 651.3386216094. The cubic root of 424242 is about 75.1400051515.

Adding to 424242 its reverse (242424), we get a palindrome (666666).

It can be divided in two parts, 42424 and 2, that multiplied together give a palindrome (84848).

The spelling of 424242 in words is "four hundred twenty-four thousand, two hundred forty-two", and thus it is an iban number.

Divisors: 1 2 3 6 7 9 13 14 18 21 26 37 39 42 49 63 74 78 91 98 111 117 126 147 182 222 234 259 273 294 333 441 481 518 546 637 666 777 819 882 962 1274 1443 1554 1638 1813 1911 2331 2886 3367 3626 3822 4329 4662 5439 5733 6734 8658 10101 10878 11466 16317 20202 23569 30303 32634 47138 60606 70707 141414 212121 424242