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42074064 = 2432292181
BaseRepresentation
bin1010000001111…
…1111111010000
32221011120202200
42200133333100
541232332224
64101443200
71020423624
oct240377720
987146680
1042074064
112182795a
1212110500
1389418c6
145833184
153a615c9
hex281ffd0

42074064 has 30 divisors (see below), whose sum is σ = 117749346. Its totient is φ = 14024640.

The previous prime is 42074063. The next prime is 42074083. The reversal of 42074064 is 46047024.

It can be written as a sum of positive squares in only one way, i.e., 26010000 + 16064064 = 5100^2 + 4008^2 .

It is a super-2 number, since 2×420740642 = 3540453722952192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42074063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145947 + ... + 146234.

Almost surely, 242074064 is an apocalyptic number.

It is an amenable number.

42074064 is an abundant number, since it is smaller than the sum of its proper divisors (75675282).

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

42074064 is a wasteful number, since it uses less digits than its factorization.

42074064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292195 (or 292186 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42074064 is about 6486.4523431534. The cubic root of 42074064 is about 347.8068686592.

The spelling of 42074064 in words is "forty-two million, seventy-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 292181 584362 876543 1168724 1753086 2337448 2629629 3506172 4674896 5259258 7012344 10518516 14024688 21037032 42074064