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10289552 = 2471337191
BaseRepresentation
bin100111010000…
…000110010000
3201100202121112
4213100012100
510113231202
61004312452
7153313460
oct47200620
921322545
1010289552
115898769
123542728
1321935c0
14151bba0
15d83b52
hex9d0190

10289552 has 80 divisors (see below), whose sum is σ = 25331712. Its totient is φ = 3939840.

The previous prime is 10289537. The next prime is 10289563. The reversal of 10289552 is 25598201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53777 + ... + 53967.

Almost surely, 210289552 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 10289552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12665856).

10289552 is an abundant number, since it is smaller than the sum of its proper divisors (15042160).

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

10289552 is a wasteful number, since it uses less digits than its factorization.

10289552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 10289552 is about 3207.7331559841. The cubic root of 10289552 is about 217.5031188173.

The spelling of 10289552 in words is "ten million, two hundred eighty-nine thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 37 52 56 74 91 104 112 148 182 191 208 259 296 364 382 481 518 592 728 764 962 1036 1337 1456 1528 1924 2072 2483 2674 3056 3367 3848 4144 4966 5348 6734 7067 7696 9932 10696 13468 14134 17381 19864 21392 26936 28268 34762 39728 49469 53872 56536 69524 91871 98938 113072 139048 183742 197876 278096 367484 395752 643097 734968 791504 1286194 1469936 2572388 5144776 10289552