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54036261 = 3389113199
BaseRepresentation
bin1100111000100…
…0011100100101
310202200022211000
43032020130211
5102313130021
65210103513
71224205056
oct316103445
9122608730
1054036261
1128558274
121611ab99
13b26c626
14726872d
154b25b26
hex3388725

54036261 has 32 divisors (see below), whose sum is σ = 82080000. Its totient is φ = 35126784.

The previous prime is 54036259. The next prime is 54036263. The reversal of 54036261 is 16263045.

54036261 is a `hidden beast` number, since 540 + 3 + 62 + 61 = 666.

It is an interprime number because it is at equal distance from previous prime (54036259) and next prime (54036263).

It is not a de Polignac number, because 54036261 - 21 = 54036259 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54036263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271440 + ... + 271638.

It is an arithmetic number, because the mean of its divisors is an integer number (2565000).

Almost surely, 254036261 is an apocalyptic number.

It is an amenable number.

54036261 is a deficient number, since it is larger than the sum of its proper divisors (28043739).

54036261 is a wasteful number, since it uses less digits than its factorization.

54036261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 54036261 is about 7350.9360628426. The cubic root of 54036261 is about 378.0608997369.

It can be divided in two parts, 5403 and 6261, that added together give a square (11664 = 1082).

The spelling of 54036261 in words is "fifty-four million, thirty-six thousand, two hundred sixty-one".

Divisors: 1 3 9 27 89 113 199 267 339 597 801 1017 1791 2403 3051 5373 10057 17711 22487 30171 53133 67461 90513 159399 202383 271539 478197 607149 2001343 6004029 18012087 54036261