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52001448 = 23341431229
BaseRepresentation
bin1100011001011…
…1101010101000
310121211221120120
43012113222220
5101303021243
65054323240
71201001502
oct306275250
9117757516
1052001448
1127398504
12154b9520
13aa093b5
146c98d72
154872c83
hex3197aa8

52001448 has 64 divisors (see below), whose sum is σ = 136382400. Its totient is φ = 16504320.

The previous prime is 52001441. The next prime is 52001449. The reversal of 52001448 is 84410025.

52001448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (52001441) 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 15 ways as a sum of consecutive naturals, for example, 41698 + ... + 42926.

It is an arithmetic number, because the mean of its divisors is an integer number (2130975).

Almost surely, 252001448 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 52001448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68191200).

52001448 is an abundant number, since it is smaller than the sum of its proper divisors (84380952).

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

52001448 is a wasteful number, since it uses less digits than its factorization.

52001448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322 (or 1318 counting only the distinct ones).

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

The square root of 52001448 is about 7211.2029509646. The cubic root of 52001448 is about 373.2545801856.

The spelling of 52001448 in words is "fifty-two million, one thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 41 43 82 86 123 129 164 172 246 258 328 344 492 516 984 1032 1229 1763 2458 3526 3687 4916 5289 7052 7374 9832 10578 14104 14748 21156 29496 42312 50389 52847 100778 105694 151167 158541 201556 211388 302334 317082 403112 422776 604668 634164 1209336 1268328 2166727 4333454 6500181 8666908 13000362 17333816 26000724 52001448