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10049844 = 2237181661
BaseRepresentation
bin100110010101…
…100100110100
3200220120210110
4212111210310
510033043334
6555223020
7151264560
oct46254464
920816713
1010049844
115744662
123447a70
13210b46c
1414986a0
15d37ae9
hex995934

10049844 has 48 divisors (see below), whose sum is σ = 26988416. Its totient is φ = 2851200.

The previous prime is 10049843. The next prime is 10049849. The reversal of 10049844 is 44894001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10049843) by changing a digit.

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, 14874 + ... + 15534.

Almost surely, 210049844 is an apocalyptic number.

10049844 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 10049844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13494208).

10049844 is an abundant number, since it is smaller than the sum of its proper divisors (16938572).

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

10049844 is a wasteful number, since it uses less digits than its factorization.

10049844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 10049844 is about 3170.1488924024. The cubic root of 10049844 is about 215.8008280613.

The spelling of 10049844 in words is "ten million, forty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 181 362 543 661 724 1086 1267 1322 1983 2172 2534 2644 3801 3966 4627 5068 7602 7932 9254 13881 15204 18508 27762 55524 119641 239282 358923 478564 717846 837487 1435692 1674974 2512461 3349948 5024922 10049844