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10049193 = 3271117853
BaseRepresentation
bin100110010101…
…011010101001
3200220112220100
4212111122221
510033033233
6555220013
7151262640
oct46253251
920815810
1010049193
115744120
123447609
13210b08b
141498357
15d37813
hex9956a9

10049193 has 48 divisors (see below), whose sum is σ = 19184256. Its totient is φ = 4907520.

The previous prime is 10049191. The next prime is 10049219. The reversal of 10049193 is 39194001.

10049193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10049193 - 21 = 10049191 is a prime.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11355 + ... + 12207.

It is an arithmetic number, because the mean of its divisors is an integer number (399672).

Almost surely, 210049193 is an apocalyptic number.

It is an amenable number.

10049193 is a deficient number, since it is larger than the sum of its proper divisors (9135063).

10049193 is a wasteful number, since it uses less digits than its factorization.

10049193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10049193 is about 3170.0462141742. The cubic root of 10049193 is about 215.7961683083.

The spelling of 10049193 in words is "ten million, forty-nine thousand, one hundred ninety-three".

Divisors: 1 3 7 9 11 17 21 33 51 63 77 99 119 153 187 231 357 561 693 853 1071 1309 1683 2559 3927 5971 7677 9383 11781 14501 17913 28149 43503 53739 65681 84447 101507 130509 159511 197043 304521 478533 591129 913563 1116577 1435599 3349731 10049193