Search a number
-
+
52310880 = 2533512109
BaseRepresentation
bin1100011110001…
…1001101100000
310122102200001000
43013203031200
5101342422010
65105112000
71203430566
oct307431540
9118380030
1052310880
1127589a36
1215628600
13aab71ab
146d39a36
1548d47c0
hex31e3360

52310880 has 96 divisors (see below), whose sum is σ = 183103200. Its totient is φ = 13948416.

The previous prime is 52310873. The next prime is 52310891. The reversal of 52310880 is 8801325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1735 + ... + 10374.

It is an arithmetic number, because the mean of its divisors is an integer number (1907325).

Almost surely, 252310880 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 52310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91551600).

52310880 is an abundant number, since it is smaller than the sum of its proper divisors (130792320).

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

52310880 is a wasteful number, since it uses less digits than its factorization.

52310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12133 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52310880 is about 7232.6260790946. The cubic root of 52310880 is about 373.9934607605.

The spelling of 52310880 in words is "fifty-two million, three hundred ten thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 12109 24218 36327 48436 60545 72654 96872 108981 121090 145308 181635 193744 217962 242180 290616 326943 363270 387488 435924 484360 544905 581232 653886 726540 871848 968720 1089810 1162464 1307772 1453080 1634715 1743696 1937440 2179620 2615544 2906160 3269430 3487392 4359240 5231088 5812320 6538860 8718480 10462176 13077720 17436960 26155440 52310880