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42048429 = 3171674937
BaseRepresentation
bin1010000001100…
…1101110101101
32221010021121020
42200121232231
541231022204
64101124353
71020256113
oct240315655
987107536
1042048429
112180a675
12120b96b9
138933037
145827ab3
153a58bd9
hex2819bad

42048429 has 16 divisors (see below), whose sum is σ = 59730048. Its totient is φ = 26220032.

The previous prime is 42048427. The next prime is 42048467. The reversal of 42048429 is 92484024.

42048429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42048429 - 21 = 42048427 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42048429.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048427) 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 15 ways as a sum of consecutive naturals, for example, 6049 + ... + 10985.

It is an arithmetic number, because the mean of its divisors is an integer number (3733128).

Almost surely, 242048429 is an apocalyptic number.

It is an amenable number.

42048429 is a deficient number, since it is larger than the sum of its proper divisors (17681619).

42048429 is a wasteful number, since it uses less digits than its factorization.

42048429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5124.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 42048429 is about 6484.4760004182. The cubic root of 42048429 is about 347.7362167370.

The spelling of 42048429 in words is "forty-two million, forty-eight thousand, four hundred twenty-nine".

Divisors: 1 3 17 51 167 501 2839 4937 8517 14811 83929 251787 824479 2473437 14016143 42048429