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10441392 = 2431329577
BaseRepresentation
bin100111110101…
…001010110000
3201122110220020
4213311022300
510133111032
61011443440
7154515243
oct47651260
921573806
1010441392
115991855
1235b6580
132217750
14155b25a
15db3b2c
hex9f52b0

10441392 has 80 divisors (see below), whose sum is σ = 30102240. Its totient is φ = 3096576.

The previous prime is 10441373. The next prime is 10441399. The reversal of 10441392 is 29314401.

10441392 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10441399) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17808 + ... + 18384.

It is an arithmetic number, because the mean of its divisors is an integer number (376278).

Almost surely, 210441392 is an apocalyptic number.

10441392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10441392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051120).

10441392 is an abundant number, since it is smaller than the sum of its proper divisors (19660848).

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

10441392 is a wasteful number, since it uses less digits than its factorization.

10441392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10441392 is about 3231.3142836932. The cubic root of 10441392 is about 218.5677761911.

Adding to 10441392 its reverse (29314401), we get a palindrome (39755793).

The spelling of 10441392 in words is "ten million, four hundred forty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 156 174 208 232 312 348 377 464 577 624 696 754 1131 1154 1392 1508 1731 2262 2308 3016 3462 4524 4616 6032 6924 7501 9048 9232 13848 15002 16733 18096 22503 27696 30004 33466 45006 50199 60008 66932 90012 100398 120016 133864 180024 200796 217529 267728 360048 401592 435058 652587 803184 870116 1305174 1740232 2610348 3480464 5220696 10441392