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54601261 = 111331109113
BaseRepresentation
bin1101000001001…
…0011000101101
310210202000211221
43100102120231
5102434220021
65230143341
71232050231
oct320223055
9123660757
1054601261
1128903810
1216351b51
13b409850
1473745c1
154bd8241
hex341262d

54601261 has 32 divisors (see below), whose sum is σ = 67415040. Its totient is φ = 43545600.

The previous prime is 54601259. The next prime is 54601291. The reversal of 54601261 is 16210645.

It is a 5-Lehmer number, since φ(54601261) divides (54601261-1)5.

It is a cyclic number.

It is not a de Polignac number, because 54601261 - 21 = 54601259 is a prime.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54601291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483141 + ... + 483253.

It is an arithmetic number, because the mean of its divisors is an integer number (2106720).

Almost surely, 254601261 is an apocalyptic number.

It is an amenable number.

54601261 is a deficient number, since it is larger than the sum of its proper divisors (12813779).

54601261 is a wasteful number, since it uses less digits than its factorization.

54601261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 54601261 is about 7389.2666077223. The cubic root of 54601261 is about 379.3739946886.

The spelling of 54601261 in words is "fifty-four million, six hundred one thousand, two hundred sixty-one".

Divisors: 1 11 13 31 109 113 143 341 403 1199 1243 1417 1469 3379 3503 4433 12317 15587 16159 37169 38533 43927 45539 135487 160121 381827 483197 500929 1761331 4200097 4963751 54601261