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10248426 = 232292677
BaseRepresentation
bin100111000110…
…000011101010
3201021200012100
4213012003222
510110422201
61003354230
7153052536
oct47060352
921250170
1010248426
11586a881
123522976
13217a976
14150abc6
15d76886
hex9c60ea

10248426 has 36 divisors (see below), whose sum is σ = 23030982. Its totient is φ = 3293472.

The previous prime is 10248419. The next prime is 10248443. The reversal of 10248426 is 62484201.

It can be written as a sum of positive squares in 3 ways, for example, as 10246401 + 2025 = 3201^2 + 45^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10248426.

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, 14800 + ... + 15476.

Almost surely, 210248426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10248426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515491).

10248426 is an abundant number, since it is smaller than the sum of its proper divisors (12782556).

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

10248426 is a wasteful number, since it uses less digits than its factorization.

10248426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10248426 is about 3201.3162917775. The cubic root of 10248426 is about 217.2129546723.

The spelling of 10248426 in words is "ten million, two hundred forty-eight thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 677 841 1354 1682 2031 2523 4062 5046 6093 7569 12186 15138 19633 39266 58899 117798 176697 353394 569357 1138714 1708071 3416142 5124213 10248426