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10838457 = 32733511
BaseRepresentation
bin101001010110…
…000110111001
3202101122120100
4221112012321
510233312312
61024150013
7161061000
oct51260671
922348510
1010838457
116133103
123768309
1323263b6
141621c37
15e415dc
hexa561b9

10838457 has 24 divisors (see below), whose sum is σ = 18262400. Its totient is φ = 6191640.

The previous prime is 10838449. The next prime is 10838459. The reversal of 10838457 is 75483801.

10838457 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 not a de Polignac number, because 10838457 - 23 = 10838449 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10838459) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1332 + ... + 4842.

Almost surely, 210838457 is an apocalyptic number.

It is an amenable number.

10838457 is a deficient number, since it is larger than the sum of its proper divisors (7423943).

10838457 is an equidigital number, since it uses as much as digits as its factorization.

10838457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 10838457 is about 3292.1811918544. The cubic root of 10838457 is about 221.3039435642.

The spelling of 10838457 in words is "ten million, eight hundred thirty-eight thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 21 49 63 147 343 441 1029 3087 3511 10533 24577 31599 73731 172039 221193 516117 1204273 1548351 3612819 10838457