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54242325 = 33521729163
BaseRepresentation
bin1100111011101…
…0110000010101
310210001210111000
43032322300111
5102341223300
65214333513
71226023614
oct316726025
9123053430
1054242325
1128689075
12161ba299
13b312367
1472bd87b
154b66c00
hex33bac15

54242325 has 96 divisors (see below), whose sum is σ = 109814400. Its totient is φ = 26127360.

The previous prime is 54242323. The next prime is 54242369. The reversal of 54242325 is 52324245.

It is a happy number.

54242325 is a `hidden beast` number, since 5 + 424 + 232 + 5 = 666.

It is not a de Polignac number, because 54242325 - 21 = 54242323 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 (54242323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 332694 + ... + 332856.

It is an arithmetic number, because the mean of its divisors is an integer number (1143900).

Almost surely, 254242325 is an apocalyptic number.

It is an amenable number.

54242325 is an abundant number, since it is smaller than the sum of its proper divisors (55572075).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54242325 is a wasteful number, since it uses less digits than its factorization.

54242325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its digits is 9600, while the sum is 27.

The square root of 54242325 is about 7364.9388999502. The cubic root of 54242325 is about 378.5408609132.

The spelling of 54242325 in words is "fifty-four million, two hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 27 29 45 51 75 85 87 135 145 153 163 225 255 261 425 435 459 489 493 675 725 765 783 815 1275 1305 1467 1479 2175 2295 2445 2465 2771 3825 3915 4075 4401 4437 4727 6525 7335 7395 8313 11475 12225 12325 13311 13855 14181 19575 22005 22185 23635 24939 36675 36975 41565 42543 66555 69275 70905 74817 80359 110025 110925 118175 124695 127629 207825 212715 241077 332775 354525 374085 401795 623475 638145 723231 1063575 1205385 1870425 2008975 2169693 3190725 3616155 6026925 10848465 18080775 54242325