Search a number
-
+
55654368 = 2537117529
BaseRepresentation
bin1101010001001…
…1011111100000
310212201112102220
43110103133200
5103221414433
65304511040
71244024430
oct324233740
9125645386
1055654368
1129462a50
121677b480
13b6b7ca3
14756a2c0
154d452b3
hex35137e0

55654368 has 96 divisors (see below), whose sum is σ = 182165760. Its totient is φ = 14453760.

The previous prime is 55654351. The next prime is 55654381. The reversal of 55654368 is 86345655.

It is a happy number.

55654368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3628 + ... + 11156.

It is an arithmetic number, because the mean of its divisors is an integer number (1897560).

Almost surely, 255654368 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 55654368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91082880).

55654368 is an abundant number, since it is smaller than the sum of its proper divisors (126511392).

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

55654368 is a wasteful number, since it uses less digits than its factorization.

55654368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7560 (or 7552 counting only the distinct ones).

The product of its digits is 432000, while the sum is 42.

The square root of 55654368 is about 7460.1855204814. The cubic root of 55654368 is about 381.7975042193.

The spelling of 55654368 in words is "fifty-five million, six hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 7529 15058 22587 30116 45174 52703 60232 82819 90348 105406 120464 158109 165638 180696 210812 240928 248457 316218 331276 361392 421624 496914 579733 632436 662552 722784 843248 993828 1159466 1264872 1325104 1686496 1739199 1987656 2318932 2529744 2650208 3478398 3975312 4637864 5059488 6956796 7950624 9275728 13913592 18551456 27827184 55654368