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42004040 = 2351380777
BaseRepresentation
bin1010000000111…
…0111001001000
32221001000201012
42200032321020
541223112130
64100143052
71020012521
oct240167110
987030635
1042004040
112178a291
1212097a88
138918a80
145815848
153a4a995
hex280ee48

42004040 has 32 divisors (see below), whose sum is σ = 101780280. Its totient is φ = 15508992.

The previous prime is 42004013. The next prime is 42004069. The reversal of 42004040 is 4040024.

It can be written as a sum of positive squares in 4 ways, for example, as 38217124 + 3786916 = 6182^2 + 1946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39869 + ... + 40908.

Almost surely, 242004040 is an apocalyptic number.

42004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42004040 is an abundant number, since it is smaller than the sum of its proper divisors (59776240).

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

42004040 is a wasteful number, since it uses less digits than its factorization.

42004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80801 (or 80797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 42004040 is about 6481.0523836797. The cubic root of 42004040 is about 347.6138094866.

Adding to 42004040 its reverse (4040024), we get a palindrome (46044064).

The spelling of 42004040 in words is "forty-two million, four thousand, forty", and thus it is an eban number.

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 80777 161554 323108 403885 646216 807770 1050101 1615540 2100202 3231080 4200404 5250505 8400808 10501010 21002020 42004040