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55210401 = 323724481
BaseRepresentation
bin1101001010011…
…1000110100001
310211212222102200
43102213012201
5103113213101
65251203413
71240165161
oct322470641
9124788380
1055210401
112918a434
12165a6569
13b590b9c
1474925a1
154ca8986
hex34a71a1

55210401 has 18 divisors (see below), whose sum is σ = 81980262. Its totient is φ = 35804160.

The previous prime is 55210357. The next prime is 55210417. The reversal of 55210401 is 10401255.

55210401 is a `hidden beast` number, since 55 + 210 + 401 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 39050001 + 16160400 = 6249^2 + 4020^2 .

It is not a de Polignac number, because 55210401 - 211 = 55208353 is a prime.

It is a super-3 number, since 3×552104013 (a number of 24 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55210481) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10081 + ... + 14561.

It is an arithmetic number, because the mean of its divisors is an integer number (4554459).

Almost surely, 255210401 is an apocalyptic number.

It is an amenable number.

55210401 is a deficient number, since it is larger than the sum of its proper divisors (26769861).

55210401 is a wasteful number, since it uses less digits than its factorization.

55210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 55210401 is about 7430.3701792037. The cubic root of 55210401 is about 380.7795653808.

Adding to 55210401 its reverse (10401255), we get a palindrome (65611656).

It can be divided in two parts, 55210 and 401, that added together give a triangular number (55611 = T333).

The spelling of 55210401 in words is "fifty-five million, two hundred ten thousand, four hundred one".

Divisors: 1 3 9 37 111 333 1369 4107 4481 12321 13443 40329 165797 497391 1492173 6134489 18403467 55210401