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54265905 = 3255361373
BaseRepresentation
bin1100111100000…
…0100000110001
310210002222211100
43033000200301
5102343002110
65215035013
71226152431
oct317004061
9123088740
1054265905
11286a4861
121620ba69
13b320005
1472c82c1
154b6dbc0
hex33c0831

54265905 has 48 divisors (see below), whose sum is σ = 97667856. Its totient is φ = 27855360.

The previous prime is 54265891. The next prime is 54265943. The reversal of 54265905 is 50956245.

It can be written as a sum of positive squares in 8 ways, for example, as 2985984 + 51279921 = 1728^2 + 7161^2 .

It is not a de Polignac number, because 54265905 - 222 = 50071601 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 54265905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145299 + ... + 145671.

It is an arithmetic number, because the mean of its divisors is an integer number (2034747).

It is the magic constant of a 477 × 477 magic square.

Almost surely, 254265905 is an apocalyptic number.

It is an amenable number.

54265905 is a deficient number, since it is larger than the sum of its proper divisors (43401951).

54265905 is a wasteful number, since it uses less digits than its factorization.

54265905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 54265905 is about 7366.5395539561. The cubic root of 54265905 is about 378.5957055411.

The spelling of 54265905 in words is "fifty-four million, two hundred sixty-five thousand, nine hundred five".

Divisors: 1 3 5 9 15 45 53 61 159 183 265 305 373 477 549 795 915 1119 1865 2385 2745 3233 3357 5595 9699 16165 16785 19769 22753 29097 48495 59307 68259 98845 113765 145485 177921 204777 296535 341295 889605 1023885 1205909 3617727 6029545 10853181 18088635 54265905