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54405372 = 223717311229
BaseRepresentation
bin1100111110001…
…0100011111100
310210101002010210
43033202203330
5102411432442
65222032420
71230303150
oct317424374
9123332123
1054405372
112878a61a
1216278710
13b36b638
147323060
154b9a19c
hex33e28fc

54405372 has 96 divisors (see below), whose sum is σ = 158699520. Its totient is φ = 14146560.

The previous prime is 54405371. The next prime is 54405391. The reversal of 54405372 is 27350445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54405371) 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, 43654 + ... + 44882.

It is an arithmetic number, because the mean of its divisors is an integer number (1653120).

Almost surely, 254405372 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 54405372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79349760).

54405372 is an abundant number, since it is smaller than the sum of its proper divisors (104294148).

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

54405372 is a wasteful number, since it uses less digits than its factorization.

54405372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 54405372 is about 7375.9997288503. Note that the first 3 decimals coincide. The cubic root of 54405372 is about 378.9197668290.

The spelling of 54405372 in words is "fifty-four million, four hundred five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1229 1302 1428 1581 2108 2458 2604 3162 3687 3689 4916 6324 7374 7378 8603 11067 14748 14756 17206 20893 22134 25809 34412 38099 41786 44268 51618 62679 76198 83572 103236 114297 125358 146251 152396 228594 250716 266693 292502 438753 457188 533386 585004 647683 800079 877506 1066772 1295366 1600158 1755012 1943049 2590732 3200316 3886098 4533781 7772196 9067562 13601343 18135124 27202686 54405372