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54042156 = 223271911287
BaseRepresentation
bin1100111000100…
…1111000101100
310202200121220100
43032021320230
5102313322111
65210151100
71224231210
oct316117054
9122617810
1054042156
1128561743
1216122490
13b27220c
14726a940
154b27756
hex3389e2c

54042156 has 72 divisors (see below), whose sum is σ = 164353280. Its totient is φ = 14626656.

The previous prime is 54042097. The next prime is 54042181. The reversal of 54042156 is 65124045.

54042156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 856 + ... + 10431.

Almost surely, 254042156 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 54042156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82176640).

54042156 is an abundant number, since it is smaller than the sum of its proper divisors (110311124).

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

54042156 is a wasteful number, since it uses less digits than its factorization.

54042156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11323 (or 11318 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54042156 is about 7351.3370212499. The cubic root of 54042156 is about 378.0746472213.

The spelling of 54042156 in words is "fifty-four million, forty-two thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 11287 22574 33861 45148 67722 79009 101583 135444 158018 203166 214453 237027 316036 406332 428906 474054 643359 711081 857812 948108 1286718 1422162 1501171 1930077 2573436 2844324 3002342 3860154 4503513 6004684 7720308 9007026 13510539 18014052 27021078 54042156