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10047957 = 326912451
BaseRepresentation
bin100110010101…
…000111010101
3200220111012120
4212111013111
510033013312
6555210153
7151256223
oct46250725
920814176
1010047957
1157431a7
123446959
13210a64a
141497b13
15d3728c
hex9951d5

10047957 has 8 divisors (see below), whose sum is σ = 13448160. Its totient is φ = 6673200.

The previous prime is 10047943. The next prime is 10047967. The reversal of 10047957 is 75974001.

10047957 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10047957 - 218 = 9785813 is a prime.

It is a super-2 number, since 2×100479572 = 201922879747698, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10047907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 7032.

It is an arithmetic number, because the mean of its divisors is an integer number (1681020).

Almost surely, 210047957 is an apocalyptic number.

It is an amenable number.

10047957 is a deficient number, since it is larger than the sum of its proper divisors (3400203).

10047957 is a wasteful number, since it uses less digits than its factorization.

10047957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12723.

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 10047957 is about 3169.8512583401. The cubic root of 10047957 is about 215.7873206659.

The spelling of 10047957 in words is "ten million, forty-seven thousand, nine hundred fifty-seven".

Divisors: 1 3 269 807 12451 37353 3349319 10047957