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10052448 = 253722137
BaseRepresentation
bin100110010110…
…001101100000
3200220201100220
4212112031200
510033134243
6555243040
7151305300
oct46261540
920821326
1010052448
11574660a
123449480
13210c6c3
141499600
15d38783
hex996360

10052448 has 72 divisors (see below), whose sum is σ = 30710232. Its totient is φ = 2870784.

The previous prime is 10052447. The next prime is 10052459. The reversal of 10052448 is 84425001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3636 + ... + 5772.

It is an arithmetic number, because the mean of its divisors is an integer number (426531).

Almost surely, 210052448 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 10052448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15355116).

10052448 is an abundant number, since it is smaller than the sum of its proper divisors (20657784).

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

10052448 is a wasteful number, since it uses less digits than its factorization.

10052448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2164 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10052448 is about 3170.5595720630. The cubic root of 10052448 is about 215.8194650614.

Adding to 10052448 its reverse (84425001), we get a palindrome (94477449).

The spelling of 10052448 in words is "ten million, fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2137 2352 4274 4704 6411 8548 12822 14959 17096 25644 29918 34192 44877 51288 59836 68384 89754 102576 104713 119672 179508 205152 209426 239344 314139 359016 418852 478688 628278 718032 837704 1256556 1436064 1675408 2513112 3350816 5026224 10052448