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56334000 = 2435341229
BaseRepresentation
bin1101011011100…
…1011010110000
310221000001201110
43112321122300
5103410142000
65331233320
71252555032
oct326713260
9127001643
1056334000
1129887628
1216a48840
13b895438
1476a5c52
154e2b850
hex35b96b0

56334000 has 160 divisors (see below), whose sum is σ = 186863040. Its totient is φ = 14592000.

The previous prime is 56333987. The next prime is 56334001. The reversal of 56334000 is 43365.

It is not an unprimeable number, because it can be changed into a prime (56334001) 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, 245886 + ... + 246114.

It is an arithmetic number, because the mean of its divisors is an integer number (1167894).

Almost surely, 256334000 is an apocalyptic number.

56334000 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 56334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93431520).

56334000 is an abundant number, since it is smaller than the sum of its proper divisors (130529040).

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

56334000 is a wasteful number, since it uses less digits than its factorization.

56334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 56334000 is about 7505.5979108929. The cubic root of 56334000 is about 383.3453472395.

Adding to 56334000 its reverse (43365), we get a palindrome (56377365).

The spelling of 56334000 in words is "fifty-six million, three hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 41 48 50 60 75 80 82 100 120 123 125 150 164 200 205 229 240 246 250 300 328 375 400 410 458 492 500 600 615 656 687 750 820 916 984 1000 1025 1145 1200 1230 1374 1500 1640 1832 1968 2000 2050 2290 2460 2748 3000 3075 3280 3435 3664 4100 4580 4920 5125 5496 5725 6000 6150 6870 8200 9160 9389 9840 10250 10992 11450 12300 13740 15375 16400 17175 18320 18778 20500 22900 24600 27480 28167 28625 30750 34350 37556 41000 45800 46945 49200 54960 56334 57250 61500 68700 75112 82000 85875 91600 93890 112668 114500 123000 137400 140835 150224 171750 187780 225336 229000 234725 246000 274800 281670 343500 375560 450672 458000 469450 563340 687000 704175 751120 938900 1126680 1173625 1374000 1408350 1877800 2253360 2347250 2816700 3520875 3755600 4694500 5633400 7041750 9389000 11266800 14083500 18778000 28167000 56334000