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10389392 = 2413199251
BaseRepresentation
bin100111101000…
…011110010000
3201112211120022
4213220132100
510124430032
61010403012
7154210526
oct47503620
921484508
1010389392
115956782
123590468
1321c9b90
141546316
15da3512
hex9e8790

10389392 has 40 divisors (see below), whose sum is σ = 21873600. Its totient is φ = 4752000.

The previous prime is 10389391. The next prime is 10389419. The reversal of 10389392 is 29398301.

It is a super-2 number, since 2×103893922 = 215878932259328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10389391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41267 + ... + 41517.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 210389392 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 10389392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10936800).

10389392 is an abundant number, since it is smaller than the sum of its proper divisors (11484208).

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

10389392 is a wasteful number, since it uses less digits than its factorization.

10389392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 10389392 is about 3223.2579791261. The cubic root of 10389392 is about 218.2043366489.

The spelling of 10389392 in words is "ten million, three hundred eighty-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 52 104 199 208 251 398 502 796 1004 1592 2008 2587 3184 3263 4016 5174 6526 10348 13052 20696 26104 41392 49949 52208 99898 199796 399592 649337 799184 1298674 2597348 5194696 10389392