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56523900 = 22352297389
BaseRepresentation
bin1101011110011…
…1110001111100
310221100201012210
43113213301330
5103432231100
65335300420
71254305466
oct327476174
9127321183
1056523900
11299a7274
1216b1a710
13b9309c4
147715136
154e67c50
hex35e7c7c

56523900 has 144 divisors (see below), whose sum is σ = 173426400. Its totient is φ = 14192640.

The previous prime is 56523889. The next prime is 56523923. The reversal of 56523900 is 932565.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635056 + ... + 635144.

It is an arithmetic number, because the mean of its divisors is an integer number (1204350).

Almost surely, 256523900 is an apocalyptic number.

56523900 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 56523900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86713200).

56523900 is an abundant number, since it is smaller than the sum of its proper divisors (116902500).

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

56523900 is a wasteful number, since it uses less digits than its factorization.

56523900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

The square root of 56523900 is about 7518.2378254482. The cubic root of 56523900 is about 383.7756121786.

The spelling of 56523900 in words is "fifty-six million, five hundred twenty-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 73 75 87 89 100 116 145 146 150 174 178 219 267 290 292 300 348 356 365 435 438 445 534 580 725 730 870 876 890 1068 1095 1335 1450 1460 1740 1780 1825 2117 2175 2190 2225 2581 2670 2900 3650 4234 4350 4380 4450 5162 5340 5475 6351 6497 6675 7300 7743 8468 8700 8900 10324 10585 10950 12702 12905 12994 13350 15486 19491 21170 21900 25404 25810 25988 26700 30972 31755 32485 38715 38982 42340 51620 52925 63510 64525 64970 77430 77964 97455 105850 127020 129050 129940 154860 158775 162425 188413 193575 194910 211700 258100 317550 324850 376826 387150 389820 487275 565239 635100 649700 753652 774300 942065 974550 1130478 1884130 1949100 2260956 2826195 3768260 4710325 5652390 9420650 11304780 14130975 18841300 28261950 56523900