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55525320 = 23325891733
BaseRepresentation
bin1101001111001…
…1111111001000
310212110222102100
43103303333020
5103203302240
65302033400
71242646254
oct323637710
9125428370
1055525320
1129384aa4
1216718860
13b671326
147535264
154d1be30
hex34f3fc8

55525320 has 96 divisors (see below), whose sum is σ = 182590200. Its totient is φ = 14631936.

The previous prime is 55525303. The next prime is 55525331. The reversal of 55525320 is 2352555.

It can be written as a sum of positive squares in 4 ways, for example, as 34786404 + 20738916 = 5898^2 + 4554^2 .

It is a super-2 number, since 2×555253202 = 6166122322204800, which contains 22 as substring.

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, 31174 + ... + 32906.

Almost surely, 255525320 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 55525320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91295100).

55525320 is an abundant number, since it is smaller than the sum of its proper divisors (127064880).

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

55525320 is a wasteful number, since it uses less digits than its factorization.

55525320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1832 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 55525320 is about 7451.5313862320. The cubic root of 55525320 is about 381.5021794807.

Adding to 55525320 its reverse (2352555), we get a palindrome (57877875).

The spelling of 55525320 in words is "fifty-five million, five hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1733 1780 2136 2670 3204 3466 3560 4005 5199 5340 6408 6932 8010 8665 10398 10680 13864 15597 16020 17330 20796 25995 31194 32040 34660 41592 51990 62388 69320 77985 103980 124776 154237 155970 207960 308474 311940 462711 616948 623880 771185 925422 1233896 1388133 1542370 1850844 2313555 2776266 3084740 3701688 4627110 5552532 6169480 6940665 9254220 11105064 13881330 18508440 27762660 55525320