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10552256 = 2611131153
BaseRepresentation
bin101000010000…
…001111000000
3201212002222022
4220100033000
510200133011
61014101012
7155456411
oct50201700
921762868
1010552256
115a58080
12364a768
132256050
141589808
15dd68db
hexa103c0

10552256 has 56 divisors (see below), whose sum is σ = 24621744. Its totient is φ = 4423680.

The previous prime is 10552253. The next prime is 10552271. The reversal of 10552256 is 65225501.

It is a super-2 number, since 2×105522562 = 222700213379072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10552253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8576 + ... + 9728.

It is an arithmetic number, because the mean of its divisors is an integer number (439674).

Almost surely, 210552256 is an apocalyptic number.

10552256 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 10552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12310872).

10552256 is an abundant number, since it is smaller than the sum of its proper divisors (14069488).

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

10552256 is a wasteful number, since it uses less digits than its factorization.

10552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 10552256 is about 3248.4236176952. The cubic root of 10552256 is about 219.3386197630.

Adding to 10552256 its reverse (65225501), we get a palindrome (75777757).

The spelling of 10552256 in words is "ten million, five hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 1153 2288 2306 4576 4612 9152 9224 12683 14989 18448 25366 29978 36896 50732 59956 73792 101464 119912 164879 202928 239824 329758 405856 479648 659516 811712 959296 1319032 2638064 5276128 10552256