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42839433 = 32713192753
BaseRepresentation
bin1010001101101…
…0110110001001
32222121110122200
42203122312021
541431330213
64130110413
71030062210
oct243326611
988543580
1042839433
11221aa99a
121241b409
138b4c0a0
145992077
153b63273
hex28dad89

42839433 has 48 divisors (see below), whose sum is σ = 80196480. Its totient is φ = 21399552.

The previous prime is 42839431. The next prime is 42839449. The reversal of 42839433 is 33493824.

It is a happy number.

42839433 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 42839433 - 21 = 42839431 is a prime.

It is a super-2 number, since 2×428394332 = 3670434039522978, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42839431) 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 47 ways as a sum of consecutive naturals, for example, 14185 + ... + 16937.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 242839433 is an apocalyptic number.

It is an amenable number.

42839433 is a deficient number, since it is larger than the sum of its proper divisors (37357047).

42839433 is a wasteful number, since it uses less digits than its factorization.

42839433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 2795 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 42839433 is about 6545.1839546341. The cubic root of 42839433 is about 349.9031922737.

The spelling of 42839433 in words is "forty-two million, eight hundred thirty-nine thousand, four hundred thirty-three".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 117 133 171 247 273 399 741 819 1197 1729 2223 2753 5187 8259 15561 19271 24777 35789 52307 57813 107367 156921 173439 250523 322101 366149 470763 679991 751569 1098447 2039973 2254707 3295341 4759937 6119919 14279811 42839433