Search a number
-
+
10049196 = 2232967431
BaseRepresentation
bin100110010101…
…011010101100
3200220112220110
4212111122230
510033033241
6555220020
7151262643
oct46253254
920815813
1010049196
115744123
123447610
13210b091
14149835a
15d37816
hex9956ac

10049196 has 48 divisors (see below), whose sum is σ = 24675840. Its totient is φ = 3178560.

The previous prime is 10049191. The next prime is 10049219. The reversal of 10049196 is 69194001.

10049196 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10049191) 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, 23101 + ... + 23531.

It is an arithmetic number, because the mean of its divisors is an integer number (514080).

Almost surely, 210049196 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 10049196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12337920).

10049196 is an abundant number, since it is smaller than the sum of its proper divisors (14626644).

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

10049196 is a wasteful number, since it uses less digits than its factorization.

10049196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10049196 is about 3170.0466873534. The cubic root of 10049196 is about 215.7961897823.

The spelling of 10049196 in words is "ten million, forty-nine thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 29 58 67 87 116 134 174 201 268 348 402 431 804 862 1293 1724 1943 2586 3886 5172 5829 7772 11658 12499 23316 24998 28877 37497 49996 57754 74994 86631 115508 149988 173262 346524 837433 1674866 2512299 3349732 5024598 10049196