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1282424 = 2311131959
BaseRepresentation
bin100111001000101111000
32102011011012
410321011320
5312014144
643253052
713620563
oct4710570
92364135
101282424
117a6560
1251a188
1335b940
142554da
151a4e9e
hex139178

1282424 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 501120.

The previous prime is 1282423. The next prime is 1282427. The reversal of 1282424 is 4242821.

It is a happy number.

It is a super-2 number, since 2×12824242 = 3289222631552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

1282424 is a modest number, since divided by 2424 gives 128 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 1282424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1282423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21707 + ... + 21765.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

21282424 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 1282424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1282424 is an abundant number, since it is smaller than the sum of its proper divisors (1741576).

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

1282424 is a wasteful number, since it uses less digits than its factorization.

1282424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 1024, while the sum is 23.

The square root of 1282424 is about 1132.4416099738. The cubic root of 1282424 is about 108.6452004888.

Subtracting from 1282424 its sum of digits (23), we obtain a triangular number (1282401 = T1601).

It can be divided in two parts, 128 and 2424, that added together give a palindrome (2552).

The spelling of 1282424 in words is "one million, two hundred eighty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 59 76 88 104 118 143 152 209 236 247 286 418 472 494 572 649 767 836 988 1121 1144 1298 1534 1672 1976 2242 2596 2717 3068 4484 5192 5434 6136 8437 8968 10868 12331 14573 16874 21736 24662 29146 33748 49324 58292 67496 98648 116584 160303 320606 641212 1282424