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10385382 = 2373741163
BaseRepresentation
bin100111100111…
…011111100110
3201112122001210
4213213133212
510124313012
61010332250
7154163040
oct47473746
921478053
1010385382
115953767
12358a086
1321c80c7
141544a90
15da223c
hex9e77e6

10385382 has 64 divisors (see below), whose sum is σ = 25127424. Its totient is φ = 2799360.

The previous prime is 10385377. The next prime is 10385399. The reversal of 10385382 is 28358301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63633 + ... + 63795.

It is an arithmetic number, because the mean of its divisors is an integer number (392616).

Almost surely, 210385382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10385382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563712).

10385382 is an abundant number, since it is smaller than the sum of its proper divisors (14742042).

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

10385382 is a wasteful number, since it uses less digits than its factorization.

10385382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253.

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 10385382 is about 3222.6358776629. The cubic root of 10385382 is about 218.1762595490.

The spelling of 10385382 in words is "ten million, three hundred eighty-five thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 14 21 37 41 42 74 82 111 123 163 222 246 259 287 326 489 518 574 777 861 978 1141 1517 1554 1722 2282 3034 3423 4551 6031 6683 6846 9102 10619 12062 13366 18093 20049 21238 31857 36186 40098 42217 46781 63714 84434 93562 126651 140343 247271 253302 280686 494542 741813 1483626 1730897 3461794 5192691 10385382