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10052848 = 2413172843
BaseRepresentation
bin100110010110…
…010011110000
3200220201220201
4212112103300
510033142343
6555244544
7151306411
oct46262360
920821821
1010052848
115746943
123449754
13210c940
141499808
15d3894d
hex9964f0

10052848 has 40 divisors (see below), whose sum is σ = 22217328. Its totient is φ = 4365312.

The previous prime is 10052839. The next prime is 10052849. The reversal of 10052848 is 84825001.

It is a super-2 number, since 2×100528482 = 202119505822208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052849) 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, 2115 + ... + 4957.

Almost surely, 210052848 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 10052848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11108664).

10052848 is an abundant number, since it is smaller than the sum of its proper divisors (12164480).

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

10052848 is a wasteful number, since it uses less digits than its factorization.

10052848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 10052848 is about 3170.6226517831. The cubic root of 10052848 is about 215.8223276026.

Adding to 10052848 its reverse (84825001), we get a palindrome (94877849).

It can be divided in two parts, 100528 and 48, that added together give a triangular number (100576 = T448).

The spelling of 10052848 in words is "ten million, fifty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 2843 3536 5686 11372 22744 36959 45488 48331 73918 96662 147836 193324 295672 386648 591344 628303 773296 1256606 2513212 5026424 10052848