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42429919 = 718113347
BaseRepresentation
bin1010000111011…
…0110111011111
32221211122220111
42201312313133
541330224134
64113230451
71023435250
oct241666737
987748814
1042429919
1121a50254
1212262427
138a3787c
1458c6b27
153ad1c64
hex2876ddf

42429919 has 8 divisors (see below), whose sum is σ = 48532608. Its totient is φ = 36337560.

The previous prime is 42429913. The next prime is 42429931. The reversal of 42429919 is 91992424.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 42429919 - 217 = 42298847 is a prime.

It is a super-3 number, since 3×424299193 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42429913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11004 + ... + 14350.

It is an arithmetic number, because the mean of its divisors is an integer number (6066576).

Almost surely, 242429919 is an apocalyptic number.

42429919 is a deficient number, since it is larger than the sum of its proper divisors (6102689).

42429919 is a wasteful number, since it uses less digits than its factorization.

42429919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165.

The product of its digits is 46656, while the sum is 40.

The square root of 42429919 is about 6513.8252202527. The cubic root of 42429919 is about 348.7846801156.

It can be divided in two parts, 4242 and 9919, that added together give a square (14161 = 1192).

The spelling of 42429919 in words is "forty-two million, four hundred twenty-nine thousand, nine hundred nineteen".

Divisors: 1 7 1811 3347 12677 23429 6061417 42429919