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54103248 = 24331753139
BaseRepresentation
bin1100111001100…
…0110011010000
310202210201201000
43032120303100
5102322300443
65211342000
71224604263
oct316306320
9122721630
1054103248
11285a3631
1216151900
13b293c74
147284cda
154b3a8d3
hex3398cd0

54103248 has 160 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 16533504.

The previous prime is 54103243. The next prime is 54103249. The reversal of 54103248 is 84230145.

54103248 is a `hidden beast` number, since 5 + 410 + 3 + 248 = 666.

It is a super-2 number, since 2×541032482 = 5854322888299008, which contains 22 as substring.

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 (54103243) 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, 389163 + ... + 389301.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 254103248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54103248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

54103248 is an abundant number, since it is smaller than the sum of its proper divisors (114635952).

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

54103248 is a wasteful number, since it uses less digits than its factorization.

54103248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54103248 is about 7355.4910101230. The cubic root of 54103248 is about 378.2170585045.

The spelling of 54103248 in words is "fifty-four million, one hundred three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 53 54 68 72 102 106 108 136 139 144 153 159 204 212 216 272 278 306 318 408 417 424 432 459 477 556 612 636 816 834 848 901 918 954 1112 1224 1251 1272 1431 1668 1802 1836 1908 2224 2363 2448 2502 2544 2703 2862 3336 3604 3672 3753 3816 4726 5004 5406 5724 6672 7089 7208 7344 7367 7506 7632 8109 9452 10008 10812 11448 14178 14416 14734 15012 16218 18904 20016 21267 21624 22101 22896 24327 28356 29468 30024 32436 37808 42534 43248 44202 48654 56712 58936 60048 63801 64872 66303 85068 88404 97308 113424 117872 125239 127602 129744 132606 170136 176808 194616 198909 250478 255204 265212 340272 353616 375717 389232 397818 500956 510408 530424 751434 795636 1001912 1020816 1060848 1127151 1502868 1591272 2003824 2254302 3005736 3182544 3381453 4508604 6011472 6762906 9017208 13525812 18034416 27051624 54103248