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42556000 = 255310639
BaseRepresentation
bin1010001001010…
…1101001100000
32222002001212011
42202111221200
541343243000
64120042304
71024501654
oct242255140
988061764
1042556000
1122026a53
1212303394
138a80086
14591aa64
153b092ba
hex2895a60

42556000 has 48 divisors (see below), whose sum is σ = 104569920. Its totient is φ = 17020800.

The previous prime is 42555983. The next prime is 42556001. The reversal of 42556000 is 65524.

It is a super-2 number, since 2×425560002 = 3622026272000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42556001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1320 + ... + 9319.

It is an arithmetic number, because the mean of its divisors is an integer number (2178540).

Almost surely, 242556000 is an apocalyptic number.

42556000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42556000 is an abundant number, since it is smaller than the sum of its proper divisors (62013920).

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

42556000 is a wasteful number, since it uses less digits than its factorization.

42556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10664 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42556000 is about 6523.4959952467. The cubic root of 42556000 is about 349.1298110714.

The spelling of 42556000 in words is "forty-two million, five hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 10639 21278 42556 53195 85112 106390 170224 212780 265975 340448 425560 531950 851120 1063900 1329875 1702240 2127800 2659750 4255600 5319500 8511200 10639000 21278000 42556000