Search a number
-
+
52597877040 = 2433524350869
BaseRepresentation
bin110000111111000100…
…111110100100110000
312000202122011222222000
4300333010332210300
51330210024031130
640055123014000
73541265402202
oct607704764460
9160678158860
1052597877040
1120341148575
12a23ab0a300
134c6304b587
14278d77c772
15157c9a6260
hexc3f13e930

52597877040 has 80 divisors (see below), whose sum is σ = 181170472800. Its totient is φ = 14026099968.

The previous prime is 52597877011. The next prime is 52597877051. The reversal of 52597877040 is 4077879525.

It is a happy number.

52597877040 is a `hidden beast` number, since 5 + 2 + 597 + 8 + 7 + 7 + 0 + 40 = 666.

52597877040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×525978770402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12173275 + ... + 12177594.

It is an arithmetic number, because the mean of its divisors is an integer number (2264630910).

Almost surely, 252597877040 is an apocalyptic number.

It is an amenable number.

52597877040 is an abundant number, since it is smaller than the sum of its proper divisors (128572595760).

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

52597877040 is a wasteful number, since it uses less digits than its factorization.

52597877040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24350891 (or 24350879 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 52597877040 in words is "fifty-two billion, five hundred ninety-seven million, eight hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 24350869 48701738 73052607 97403476 121754345 146105214 194806952 219157821 243508690 292210428 365263035 389613904 438315642 487017380 584420856 657473463 730526070 876631284 974034760 1095789105 1168841712 1314946926 1461052140 1753262568 1948069520 2191578210 2629893852 2922104280 3287367315 3506525136 4383156420 5259787704 5844208560 6574734630 8766312840 10519575408 13149469260 17532625680 26298938520 52597877040