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55835328 = 263436763
BaseRepresentation
bin1101010011111…
…1101011000000
310220001201200010
43110333223000
5103243212303
65312424520
71245410133
oct324775300
9126051603
1055835328
11295769aa
1216848140
13b74c473
1475b621a
154d7dc03
hex353fac0

55835328 has 56 divisors (see below), whose sum is σ = 151188928. Its totient is φ = 18176256.

The previous prime is 55835279. The next prime is 55835333. The reversal of 55835328 is 82353855.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4875 + ... + 11637.

Almost surely, 255835328 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 55835328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75594464).

55835328 is an abundant number, since it is smaller than the sum of its proper divisors (95353600).

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

55835328 is a wasteful number, since it uses less digits than its factorization.

55835328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6811 counting only the distinct ones).

The product of its digits is 144000, while the sum is 39.

The square root of 55835328 is about 7472.3040623358. The cubic root of 55835328 is about 382.2108609887.

The spelling of 55835328 in words is "fifty-five million, eight hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 6763 8256 13526 20289 27052 40578 54104 81156 108208 162312 216416 290809 324624 432832 581618 649248 872427 1163236 1298496 1744854 2326472 3489708 4652944 6979416 9305888 13958832 18611776 27917664 55835328