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54021825 = 325211132373
BaseRepresentation
bin1100111000010…
…0111011000001
310202122121000100
43032010323001
5102312144300
65205513013
71224115014
oct316047301
9122577010
1054021825
1128548440
1216112769
13b265ba0
14726337b
154b21700
hex3384ec1

54021825 has 144 divisors (see below), whose sum is σ = 120242304. Its totient is φ = 22809600.

The previous prime is 54021823. The next prime is 54021829. The reversal of 54021825 is 52812045.

It is a happy number.

It is not a de Polignac number, because 54021825 - 21 = 54021823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54021823) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 739989 + ... + 740061.

It is an arithmetic number, because the mean of its divisors is an integer number (835016).

Almost surely, 254021825 is an apocalyptic number.

54021825 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54021825 is an abundant number, since it is smaller than the sum of its proper divisors (66220479).

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

54021825 is a wasteful number, since it uses less digits than its factorization.

54021825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54021825 is about 7349.9540814892. The cubic root of 54021825 is about 378.0272299188.

It can be divided in two parts, 5402 and 1825, that added together give a palindrome (7227).

The spelling of 54021825 in words is "fifty-four million, twenty-one thousand, eight hundred twenty-five".

Divisors: 1 3 5 9 11 13 15 23 25 33 39 45 55 65 69 73 75 99 115 117 143 165 195 207 219 225 253 275 299 325 345 365 429 495 575 585 657 715 759 803 825 897 949 975 1035 1095 1265 1287 1495 1679 1725 1825 2145 2277 2409 2475 2691 2847 2925 3285 3289 3575 3795 4015 4485 4745 5037 5175 5475 6325 6435 7227 7475 8395 8541 9867 10439 10725 11385 12045 13455 14235 15111 16425 16445 18469 18975 20075 21827 22425 23725 25185 29601 31317 32175 36135 41975 42705 49335 52195 55407 56925 60225 65481 67275 71175 75555 82225 92345 93951 109135 125925 148005 156585 166221 180675 196443 213525 240097 246675 260975 277035 327405 377775 461725 469755 545675 720291 740025 782925 831105 982215 1200485 1385175 1637025 2160873 2348775 3601455 4155525 4911075 6002425 10804365 18007275 54021825