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10252256 = 257371237
BaseRepresentation
bin100111000110…
…111111100000
3201021212110012
4213012333200
510111033011
61003424052
7153066650
oct47067740
921255405
1010252256
115872743
123525028
13217c631
14150c360
15d77a8b
hex9c6fe0

10252256 has 48 divisors (see below), whose sum is σ = 23710176. Its totient is φ = 4271616.

The previous prime is 10252247. The next prime is 10252259. The reversal of 10252256 is 65225201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10252259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7670 + ... + 8906.

It is an arithmetic number, because the mean of its divisors is an integer number (493962).

Almost surely, 210252256 is an apocalyptic number.

10252256 is a gapful number since it is divisible by the number (16) 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 10252256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855088).

10252256 is an abundant number, since it is smaller than the sum of its proper divisors (13457920).

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

10252256 is a wasteful number, since it uses less digits than its factorization.

10252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 10252256 is about 3201.9144273387. The cubic root of 10252256 is about 217.2400099490.

Adding to 10252256 its reverse (65225201), we get a palindrome (75477457).

The spelling of 10252256 in words is "ten million, two hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 518 592 1036 1184 1237 2072 2474 4144 4948 8288 8659 9896 17318 19792 34636 39584 45769 69272 91538 138544 183076 277088 320383 366152 640766 732304 1281532 1464608 2563064 5126128 10252256