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42000800 = 255252501
BaseRepresentation
bin1010000000111…
…0000110100000
32221000212021012
42200032012200
541223011200
64100120052
71020000212
oct240160640
987025235
1042000800
1121787906
1212096028
13891745a
1458145b2
153a49a35
hex280e1a0

42000800 has 36 divisors (see below), whose sum is σ = 102536406. Its totient is φ = 16800000.

The previous prime is 42000799. The next prime is 42000821. The reversal of 42000800 is 800024.

It can be written as a sum of positive squares in 3 ways, for example, as 26915344 + 15085456 = 5188^2 + 3884^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25451 + ... + 27050.

Almost surely, 242000800 is an apocalyptic number.

42000800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42000800 is an abundant number, since it is smaller than the sum of its proper divisors (60535606).

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

42000800 is a wasteful number, since it uses less digits than its factorization.

42000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52521 (or 52508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 42000800 is about 6480.8024194539. The cubic root of 42000800 is about 347.6048714757.

Adding to 42000800 its reverse (800024), we get a palindrome (42800824).

The spelling of 42000800 in words is "forty-two million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 52501 105002 210004 262505 420008 525010 840016 1050020 1312525 1680032 2100040 2625050 4200080 5250100 8400160 10500200 21000400 42000800