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42002919 = 3276531021
BaseRepresentation
bin1010000000111…
…0100111100111
32221000222011200
42200032213213
541223043134
64100133543
71020006330
oct240164747
987028150
1042002919
1121789462
12120972b3
1389183ca
145815287
153a4a499
hex280e9e7

42002919 has 24 divisors (see below), whose sum is σ = 69512352. Its totient is φ = 23941440.

The previous prime is 42002893. The next prime is 42002921. The reversal of 42002919 is 91920024.

42002919 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42002919 - 27 = 42002791 is a prime.

It is a super-2 number, since 2×420029192 = 3528490409041122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42002892 and 42002901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42002929) 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 23 ways as a sum of consecutive naturals, for example, 40629 + ... + 41649.

It is an arithmetic number, because the mean of its divisors is an integer number (2896348).

Almost surely, 242002919 is an apocalyptic number.

42002919 is a deficient number, since it is larger than the sum of its proper divisors (27509433).

42002919 is a wasteful number, since it uses less digits than its factorization.

42002919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 42002919 is about 6480.9659002343. The cubic root of 42002919 is about 347.6107170972.

The spelling of 42002919 in words is "forty-two million, two thousand, nine hundred nineteen".

Divisors: 1 3 7 9 21 63 653 1021 1959 3063 4571 5877 7147 9189 13713 21441 41139 64323 666713 2000139 4666991 6000417 14000973 42002919