Search a number
-
+
52031520 = 25325231571
BaseRepresentation
bin1100011001111…
…1000000100000
310121220110211100
43012133000200
5101310002040
65055114400
71201155252
oct306370040
9117813740
1052031520
1127409062
1215512a00
13aa19ca8
146ca5cd2
15487bb30
hex319f020

52031520 has 144 divisors (see below), whose sum is σ = 185395392. Its totient is φ = 13263360.

The previous prime is 52031513. The next prime is 52031521. The reversal of 52031520 is 2513025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 52031493 and 52031502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52031521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32335 + ... + 33905.

It is an arithmetic number, because the mean of its divisors is an integer number (1287468).

Almost surely, 252031520 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 52031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92697696).

52031520 is an abundant number, since it is smaller than the sum of its proper divisors (133363872).

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

52031520 is a wasteful number, since it uses less digits than its factorization.

52031520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 52031520 is about 7213.2877386113. The cubic root of 52031520 is about 373.3265163154.

Adding to 52031520 its reverse (2513025), we get a palindrome (54544545).

The spelling of 52031520 in words is "fifty-two million, thirty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1571 1656 1840 2070 2208 2760 3142 3312 3680 4140 4713 5520 6284 6624 7855 8280 9426 11040 12568 14139 15710 16560 18852 23565 25136 28278 31420 33120 36133 37704 47130 50272 56556 62840 70695 72266 75408 94260 108399 113112 125680 141390 144532 150816 180665 188520 216798 226224 251360 282780 289064 325197 361330 377040 433596 452448 541995 565560 578128 650394 722660 754080 867192 1083990 1131120 1156256 1300788 1445320 1625985 1734384 2167980 2262240 2601576 2890640 3251970 3468768 4335960 5203152 5781280 6503940 8671920 10406304 13007880 17343840 26015760 52031520