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42417384 = 2335333347
BaseRepresentation
bin1010000111001…
…1110011101000
32221211000201020
42201303303220
541324324014
64113052440
71023353562
oct241636350
987730636
1042417384
1121a41899
1212257120
138a31c59
1458c2332
153acd1a9
hex2873ce8

42417384 has 32 divisors (see below), whose sum is σ = 108047520. Its totient is φ = 13871936.

The previous prime is 42417383. The next prime is 42417409. The reversal of 42417384 is 48371424.

42417384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

42417384 is a modest number, since divided by 17384 gives 424 as remainder.

It is not an unprimeable number, because it can be changed into a prime (42417383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15402 + ... + 17945.

It is an arithmetic number, because the mean of its divisors is an integer number (3376485).

Almost surely, 242417384 is an apocalyptic number.

It is an amenable number.

42417384 is an abundant number, since it is smaller than the sum of its proper divisors (65630136).

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

42417384 is a wasteful number, since it uses less digits than its factorization.

42417384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33409 (or 33405 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 42417384 is about 6512.8629649333. The cubic root of 42417384 is about 348.7503297745.

The spelling of 42417384 in words is "forty-two million, four hundred seventeen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 1272 33347 66694 100041 133388 200082 266776 400164 800328 1767391 3534782 5302173 7069564 10604346 14139128 21208692 42417384