Search a number
-
+
52104024 = 23327671543
BaseRepresentation
bin1100011011000…
…0101101011000
310122001011021200
43012300231120
5101314312044
65100434200
71201606530
oct306605530
9118034250
1052104024
1127458585
1215548960
13aa43cab
146cc44c0
154893369
hex31b0b58

52104024 has 96 divisors (see below), whose sum is σ = 163787520. Its totient is φ = 14655168.

The previous prime is 52104001. The next prime is 52104037. The reversal of 52104024 is 42040125.

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 = 52103988 and 52104006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32997 + ... + 34539.

It is an arithmetic number, because the mean of its divisors is an integer number (1706120).

Almost surely, 252104024 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 52104024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81893760).

52104024 is an abundant number, since it is smaller than the sum of its proper divisors (111683496).

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

52104024 is a wasteful number, since it uses less digits than its factorization.

52104024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1622 counting only the distinct ones).

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

The square root of 52104024 is about 7218.3117139675. The cubic root of 52104024 is about 373.4998414003.

Adding to 52104024 its reverse (42040125), we get a palindrome (94144149).

The spelling of 52104024 in words is "fifty-two million, one hundred four thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 67 72 84 126 134 168 201 252 268 402 469 504 536 603 804 938 1206 1407 1543 1608 1876 2412 2814 3086 3752 4221 4629 4824 5628 6172 8442 9258 10801 11256 12344 13887 16884 18516 21602 27774 32403 33768 37032 43204 55548 64806 86408 97209 103381 111096 129612 194418 206762 259224 310143 388836 413524 620286 723667 777672 827048 930429 1240572 1447334 1860858 2171001 2481144 2894668 3721716 4342002 5789336 6513003 7443432 8684004 13026006 17368008 26052012 52104024