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10052424 = 23355171
BaseRepresentation
bin100110010110…
…001101001000
3200220201100000
4212112031020
510033134144
6555243000
7151305234
oct46261510
920821300
1010052424
115746598
123449460
13210c6a5
1414995c4
15d38769
hex996348

10052424 has 48 divisors (see below), whose sum is σ = 28239120. Its totient is φ = 3350160.

The previous prime is 10052417. The next prime is 10052447. The reversal of 10052424 is 42425001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10052397 and 10052406.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642 + ... + 4529.

It is an arithmetic number, because the mean of its divisors is an integer number (588315).

Almost surely, 210052424 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 10052424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119560).

10052424 is an abundant number, since it is smaller than the sum of its proper divisors (18186696).

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

10052424 is an equidigital number, since it uses as much as digits as its factorization.

10052424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5192 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10052424 is about 3170.5557872398. Note that the first 3 decimals coincide. The cubic root of 10052424 is about 215.8192933065.

Adding to 10052424 its reverse (42425001), we get a palindrome (52477425).

The spelling of 10052424 in words is "ten million, fifty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 5171 10342 15513 20684 31026 41368 46539 62052 93078 124104 139617 186156 279234 372312 418851 558468 837702 1116936 1256553 1675404 2513106 3350808 5026212 10052424