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10392468 = 2231922399
BaseRepresentation
bin100111101001…
…001110010100
3201112222210020
4213221032110
510130024333
61010425140
7154222512
oct47511624
921488706
1010392468
115959019
1235921b0
1321cb3b8
1415474b2
15da43b3
hex9e9394

10392468 has 36 divisors (see below), whose sum is σ = 25603200. Its totient is φ = 3280464.

The previous prime is 10392467. The next prime is 10392479. The reversal of 10392468 is 86429301.

10392468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103924682 = 216006782262048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10392461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3133 + ... + 5531.

It is an arithmetic number, because the mean of its divisors is an integer number (711200).

Almost surely, 210392468 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 10392468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12801600).

10392468 is an abundant number, since it is smaller than the sum of its proper divisors (15210732).

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

10392468 is a wasteful number, since it uses less digits than its factorization.

10392468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 10392468 is about 3223.7351007798. The cubic root of 10392468 is about 218.2258691989.

The spelling of 10392468 in words is "ten million, three hundred ninety-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 722 1083 1444 2166 2399 4332 4798 7197 9596 14394 28788 45581 91162 136743 182324 273486 546972 866039 1732078 2598117 3464156 5196234 10392468