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59204 = 2219241
BaseRepresentation
bin1110011101000100
310000012202
432131010
53343304
61134032
7334415
oct163504
9100182
1059204
1140532
122a318
1320c42
141780c
151281e
hexe744

59204 has 18 divisors (see below), whose sum is σ = 112014. Its totient is φ = 27360.

The previous prime is 59197. The next prime is 59207. The reversal of 59204 is 40295.

59204 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 36100 + 23104 = 190^2 + 152^2 .

It is a super-2 number, since 2×592042 = 7010227232, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 59204.

It is not an unprimeable number, because it can be changed into a prime (59207) by changing a digit.

59204 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1424 + ... + 1464.

It is an arithmetic number, because the mean of its divisors is an integer number (6223).

259204 is an apocalyptic number.

It is an amenable number.

59204 is a deficient number, since it is larger than the sum of its proper divisors (52810).

59204 is a wasteful number, since it uses less digits than its factorization.

59204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 59204 is about 243.3187210224. The cubic root of 59204 is about 38.9747809783.

Adding to 59204 its reverse (40295), we get a palindrome (99499).

The spelling of 59204 in words is "fifty-nine thousand, two hundred four".

Divisors: 1 2 4 19 38 41 76 82 164 361 722 779 1444 1558 3116 14801 29602 59204