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42004384 = 251312637
BaseRepresentation
bin1010000000111…
…0111110100000
32221001001011221
42200032332200
541223120014
64100144424
71020013522
oct240167640
987031157
1042004384
112178a574
1212098114
138918c86
145815a12
153a4ab24
hex280efa0

42004384 has 12 divisors (see below), whose sum is σ = 82696194. Its totient is φ = 21002176.

The previous prime is 42004373. The next prime is 42004387. The reversal of 42004384 is 48340024.

It can be written as a sum of positive squares in only one way, i.e., 31584400 + 10419984 = 5620^2 + 3228^2 .

It is a super-3 number, since 3×420043843 (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (42004387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656287 + ... + 656350.

Almost surely, 242004384 is an apocalyptic number.

It is an amenable number.

42004384 is a deficient number, since it is larger than the sum of its proper divisors (40691810).

42004384 is a wasteful number, since it uses less digits than its factorization.

42004384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312647 (or 1312639 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 42004384 is about 6481.0789225252. The cubic root of 42004384 is about 347.6147584336.

The spelling of 42004384 in words is "forty-two million, four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 1312637 2625274 5250548 10501096 21002192 42004384