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54029808 = 24337171051
BaseRepresentation
bin1100111000011…
…0110111110000
310202122222222000
43032012313300
5102312423213
65210014000
71224150210
oct316066760
9122588860
1054029808
1128553438
1216117300
13b269701
147266240
154b23c73
hex3386df0

54029808 has 160 divisors (see below), whose sum is σ = 187845120. Its totient is φ = 14515200.

The previous prime is 54029779. The next prime is 54029809. The reversal of 54029808 is 80892045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54029809) 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, 50883 + ... + 51933.

It is an arithmetic number, because the mean of its divisors is an integer number (1174032).

Almost surely, 254029808 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 54029808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93922560).

54029808 is an abundant number, since it is smaller than the sum of its proper divisors (133815312).

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

54029808 is a wasteful number, since it uses less digits than its factorization.

54029808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 54029808 is about 7350.4971260453. The cubic root of 54029808 is about 378.0458498176.

The spelling of 54029808 in words is "fifty-four million, twenty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1051 1071 1224 1428 1512 1836 1904 2102 2142 2448 2856 3024 3153 3213 3672 4204 4284 5712 6306 6426 7344 7357 8408 8568 9459 12612 12852 14714 16816 17136 17867 18918 22071 25224 25704 28377 29428 35734 37836 44142 50448 51408 53601 56754 58856 66213 71468 75672 88284 107202 113508 117712 125069 132426 142936 151344 160803 176568 198639 214404 227016 250138 264852 285872 321606 353136 375207 397278 428808 454032 482409 500276 529704 643212 750414 794556 857616 964818 1000552 1059408 1125621 1286424 1500828 1589112 1929636 2001104 2251242 2572848 3001656 3178224 3376863 3859272 4502484 6003312 6753726 7718544 9004968 13507452 18009936 27014904 54029808