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556001000 = 23534171191
BaseRepresentation
bin100001001000111…
…110011011101000
31102202012202222122
4201020332123220
52114314013000
6131101010412
716530634112
oct4110763350
91382182878
10556001000
11265936865
12136253a08
138b261a99
1453bb23b2
1533c2b085
hex2123e6e8

556001000 has 128 divisors (see below), whose sum is σ = 1358622720. Its totient is φ = 212800000.

The previous prime is 556000999. The next prime is 556001003. The reversal of 556001000 is 100655.

It is a super-2 number, since 2×5560010002 = 618274224002000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 556001000.

It is not an unprimeable number, because it can be changed into a prime (556001003) 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, 2910905 + ... + 2911095.

It is an arithmetic number, because the mean of its divisors is an integer number (10614240).

Almost surely, 2556001000 is an apocalyptic number.

556001000 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 556001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679311360).

556001000 is an abundant number, since it is smaller than the sum of its proper divisors (802621720).

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

556001000 is a wasteful number, since it uses less digits than its factorization.

556001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 556001000 is about 23579.6734498169. The cubic root of 556001000 is about 822.2903448414.

Adding to 556001000 its reverse (100655), we get a palindrome (556101655).

The spelling of 556001000 in words is "five hundred fifty-six million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 71 82 100 125 142 164 191 200 205 250 284 328 355 382 410 500 568 710 764 820 955 1000 1025 1420 1528 1640 1775 1910 2050 2840 2911 3550 3820 4100 4775 5125 5822 7100 7640 7831 8200 8875 9550 10250 11644 13561 14200 14555 15662 17750 19100 20500 23288 23875 27122 29110 31324 35500 38200 39155 41000 47750 54244 58220 62648 67805 71000 72775 78310 95500 108488 116440 135610 145550 156620 191000 195775 271220 291100 313240 339025 363875 391550 542440 556001 582200 678050 727750 783100 978875 1112002 1356100 1455500 1566200 1695125 1957750 2224004 2712200 2780005 2911000 3390250 3915500 4448008 5560010 6780500 7831000 11120020 13561000 13900025 22240040 27800050 55600100 69500125 111200200 139000250 278000500 556001000