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56523000 = 2335383227
BaseRepresentation
bin1101011110011…
…1100011111000
310221100122222110
43113213203320
5103432214000
65335252320
71254303042
oct327474370
9127318873
1056523000
11299a6626
1216b1a0a0
13b930481
147714a92
154e67850
hex35e78f8

56523000 has 128 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 14825600.

The previous prime is 56522971. The next prime is 56523007. The reversal of 56523000 is 32565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56523007) 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, 248887 + ... + 249113.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 256523000 is an apocalyptic number.

56523000 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 56523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

56523000 is an abundant number, since it is smaller than the sum of its proper divisors (122739720).

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

56523000 is a wasteful number, since it uses less digits than its factorization.

56523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

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

The square root of 56523000 is about 7518.1779707586. The cubic root of 56523000 is about 383.7735752828.

Adding to 56523000 its reverse (32565), we get a palindrome (56555565).

The spelling of 56523000 in words is "fifty-six million, five hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 83 100 120 125 150 166 200 227 249 250 300 332 375 415 454 498 500 600 664 681 750 830 908 996 1000 1135 1245 1362 1500 1660 1816 1992 2075 2270 2490 2724 3000 3320 3405 4150 4540 4980 5448 5675 6225 6810 8300 9080 9960 10375 11350 12450 13620 16600 17025 18841 20750 22700 24900 27240 28375 31125 34050 37682 41500 45400 49800 56523 56750 62250 68100 75364 83000 85125 94205 113046 113500 124500 136200 150728 170250 188410 226092 227000 249000 282615 340500 376820 452184 471025 565230 681000 753640 942050 1130460 1413075 1884100 2260920 2355125 2826150 3768200 4710250 5652300 7065375 9420500 11304600 14130750 18841000 28261500 56523000