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56235000 = 2335423163
BaseRepresentation
bin1101011010000…
…1001111111000
310220211000220210
43112201033320
5103344010000
65325151120
71251663303
oct326411770
9126730823
1056235000
112981a208
12169bb4a0
13b85c363
14767bb3a
154e0c350
hex35a13f8

56235000 has 160 divisors (see below), whose sum is σ = 184440960. Its totient is φ = 14256000.

The previous prime is 56234987. The next prime is 56235059. The reversal of 56235000 is 53265.

It is a Cunningham number, because it is equal to 74992-1.

It is a super-3 number, since 3×562350003 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 344919 + ... + 345081.

It is an arithmetic number, because the mean of its divisors is an integer number (1152756).

Almost surely, 256235000 is an apocalyptic number.

56235000 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 56235000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92220480).

56235000 is an abundant number, since it is smaller than the sum of its proper divisors (128205960).

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

56235000 is a wasteful number, since it uses less digits than its factorization.

56235000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 56235000 is about 7498.9999333244. Note that the first 4 decimals coincide. The cubic root of 56235000 is about 383.1206549719.

Adding to 56235000 its reverse (53265), we get a palindrome (56288265).

The spelling of 56235000 in words is "fifty-six million, two hundred thirty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 125 138 150 163 184 200 230 250 276 300 326 345 375 460 489 500 552 575 600 625 652 690 750 815 920 978 1000 1150 1250 1304 1380 1500 1630 1725 1875 1956 2300 2445 2500 2760 2875 3000 3260 3450 3749 3750 3912 4075 4600 4890 5000 5750 6520 6900 7498 7500 8150 8625 9780 11247 11500 12225 13800 14375 14996 15000 16300 17250 18745 19560 20375 22494 23000 24450 28750 29992 32600 34500 37490 40750 43125 44988 48900 56235 57500 61125 69000 74980 81500 86250 89976 93725 97800 101875 112470 115000 122250 149960 163000 172500 187450 203750 224940 244500 281175 305625 345000 374900 407500 449880 468625 489000 562350 611250 749800 815000 937250 1124700 1222500 1405875 1874500 2249400 2343125 2445000 2811750 3749000 4686250 5623500 7029375 9372500 11247000 14058750 18745000 28117500 56235000