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56330000 = 245443131
BaseRepresentation
bin1101011011100…
…0011100010000
310220222212020022
43112320130100
5103410030000
65331203012
71252540256
oct326703420
9126885208
1056330000
1129884621
1216a46468
13b89367c
1476a45d6
154e2a585
hex35b8710

56330000 has 100 divisors (see below), whose sum is σ = 140617488. Its totient is φ = 21840000.

The previous prime is 56329997. The next prime is 56330033. The reversal of 56330000 is 3365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429935 + ... + 430065.

Almost surely, 256330000 is an apocalyptic number.

56330000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308744).

56330000 is an abundant number, since it is smaller than the sum of its proper divisors (84287488).

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

56330000 is a wasteful number, since it uses less digits than its factorization.

56330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 56330000 is about 7505.3314383843. The cubic root of 56330000 is about 383.3362738695.

Adding to 56330000 its reverse (3365), we get a palindrome (56333365).

The spelling of 56330000 in words is "fifty-six million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 125 131 172 200 215 250 262 344 400 430 500 524 625 655 688 860 1000 1048 1075 1250 1310 1720 2000 2096 2150 2500 2620 3275 3440 4300 5000 5240 5375 5633 6550 8600 10000 10480 10750 11266 13100 16375 17200 21500 22532 26200 26875 28165 32750 43000 45064 52400 53750 56330 65500 81875 86000 90128 107500 112660 131000 140825 163750 215000 225320 262000 281650 327500 430000 450640 563300 655000 704125 1126600 1310000 1408250 2253200 2816500 3520625 5633000 7041250 11266000 14082500 28165000 56330000