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10049424 = 2437112719
BaseRepresentation
bin100110010101…
…011110010000
3200220120012220
4212111132100
510033040144
6555221040
7151263420
oct46253620
920816186
1010049424
115744310
123447780
13210b208
141498480
15d37919
hex995790

10049424 has 80 divisors (see below), whose sum is σ = 32378880. Its totient is φ = 2609280.

The previous prime is 10049419. The next prime is 10049443. The reversal of 10049424 is 42494001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10049394 and 10049403.

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 15 ways as a sum of consecutive naturals, for example, 2337 + ... + 5055.

It is an arithmetic number, because the mean of its divisors is an integer number (404736).

Almost surely, 210049424 is an apocalyptic number.

10049424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10049424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189440).

10049424 is an abundant number, since it is smaller than the sum of its proper divisors (22329456).

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

10049424 is a wasteful number, since it uses less digits than its factorization.

10049424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2748 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 10049424 is about 3170.0826487649. The cubic root of 10049424 is about 215.7978217921.

The spelling of 10049424 in words is "ten million, forty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2719 3696 5438 8157 10876 16314 19033 21752 29909 32628 38066 43504 57099 59818 65256 76132 89727 114198 119636 130512 152264 179454 209363 228396 239272 304528 358908 418726 456792 478544 628089 717816 837452 913584 1256178 1435632 1674904 2512356 3349808 5024712 10049424