Search a number
-
+
10048050 = 23552827
BaseRepresentation
bin100110010101…
…001000110010
3200220111100000
4212111020302
510033014200
6555210430
7151256415
oct46251062
920814300
1010048050
115743281
123446a16
13210a6bc
141497b7c
15d37300
hex995232

10048050 has 72 divisors (see below), whose sum is σ = 28029456. Its totient is φ = 2676240.

The previous prime is 10048043. The next prime is 10048067. The reversal of 10048050 is 5084001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11737 + ... + 12563.

It is an arithmetic number, because the mean of its divisors is an integer number (389298).

Almost surely, 210048050 is an apocalyptic number.

10048050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10048050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14014728).

10048050 is an abundant number, since it is smaller than the sum of its proper divisors (17981406).

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

10048050 is an equidigital number, since it uses as much as digits as its factorization.

10048050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10048050 is about 3169.8659277641. The cubic root of 10048050 is about 215.7879864118.

The spelling of 10048050 in words is "ten million, forty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 810 827 1215 1350 1654 2025 2430 2481 4050 4135 4962 6075 7443 8270 12150 12405 14886 20675 22329 24810 37215 41350 44658 62025 66987 74430 111645 124050 133974 186075 200961 223290 334935 372150 401922 558225 669870 1004805 1116450 1674675 2009610 3349350 5024025 10048050