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55691328 = 2637113767
BaseRepresentation
bin1101010001110…
…0100001000000
310212210102010210
43110130201000
5103224110303
65305354120
71244240250
oct324344100
9125712123
1055691328
11294887a0
1216798940
13b6cba64
147579960
154d51203
hex351c840

55691328 has 112 divisors (see below), whose sum is σ = 183757824. Its totient is φ = 14461440.

The previous prime is 55691297. The next prime is 55691333. The reversal of 55691328 is 82319655.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12901 + ... + 16667.

Almost surely, 255691328 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 55691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91878912).

55691328 is an abundant number, since it is smaller than the sum of its proper divisors (128066496).

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

55691328 is a wasteful number, since it uses less digits than its factorization.

55691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3800 (or 3790 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 55691328 is about 7462.6622595425. The cubic root of 55691328 is about 381.8820026074.

The spelling of 55691328 in words is "fifty-five million, six hundred ninety-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 3767 4928 7392 7534 11301 14784 15068 22602 26369 30136 41437 45204 52738 60272 79107 82874 90408 105476 120544 124311 158214 165748 180816 210952 241088 248622 290059 316428 331496 361632 421904 497244 580118 632856 662992 723264 843808 870177 994488 1160236 1265712 1325984 1687616 1740354 1988976 2320472 2531424 2651968 3480708 3977952 4640944 5062848 6961416 7955904 9281888 13922832 18563776 27845664 55691328