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55190041 = 172192232
BaseRepresentation
bin1101001010001…
…0001000011001
310211211221111121
43102202020121
5103112040131
65250525241
71240051624
oct322421031
9124757447
1055190041
1129176105
1216596821
13b58483a
147488dbb
154ca2911
hex34a2219

55190041 has 27 divisors (see below), whose sum is σ = 64682751. Its totient is φ = 47070144.

The previous prime is 55190029. The next prime is 55190071. The reversal of 55190041 is 14009155.

The square root of 55190041 is 7429.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42968025 + 12222016 = 6555^2 + 3496^2 .

It is not a de Polignac number, because 55190041 - 29 = 55189529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 55189988 and 55190015.

It is not an unprimeable number, because it can be changed into a prime (55190021) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2399556 + ... + 2399578.

Almost surely, 255190041 is an apocalyptic number.

55190041 is the 7429-th square number.

55190041 is the 3715-th centered octagonal number.

It is an amenable number.

55190041 is a deficient number, since it is larger than the sum of its proper divisors (9492710).

55190041 is a wasteful number, since it uses less digits than its factorization.

55190041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 55190041 is about 380.7327527936.

Multiplying 55190041 by its sum of digits (25), we get a square (1379751025 = 371452).

Multiplying 55190041 by its product of nonzero digits (900), we get a square (49671036900 = 2228702).

Adding to 55190041 its reverse (14009155), we get a palindrome (69199196).

It can be divided in two parts, 55 and 190041, that added together give a square (190096 = 4362).

The spelling of 55190041 in words is "fifty-five million, one hundred ninety thousand, forty-one".

Divisors: 1 17 19 23 289 323 361 391 437 529 5491 6137 6647 7429 8303 8993 10051 104329 126293 141151 152881 170867 190969 2399567 2904739 3246473 55190041