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42829479 = 367211109
BaseRepresentation
bin1010001101100…
…0011010100111
32222120222000000
42203120122213
541431020404
64125552343
71030021200
oct243303247
988528000
1042829479
11221a3470
12124156b3
138b476b4
14598c5a7
153b60339
hex28d86a7

42829479 has 84 divisors (see below), whose sum is σ = 82237320. Its totient is φ = 22044960.

The previous prime is 42829471. The next prime is 42829499. The reversal of 42829479 is 97492824.

42829479 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 42829479 - 23 = 42829471 is a prime.

It is a super-2 number, since 2×428294792 = 3668728542822882, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42829471) 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 83 ways as a sum of consecutive naturals, for example, 392877 + ... + 392985.

Almost surely, 242829479 is an apocalyptic number.

42829479 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

42829479 is a deficient number, since it is larger than the sum of its proper divisors (39407841).

42829479 is a wasteful number, since it uses less digits than its factorization.

42829479 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 42829479 is about 6544.4235040223. The cubic root of 42829479 is about 349.8760894705.

The spelling of 42829479 in words is "forty-two million, eight hundred twenty-nine thousand, four hundred seventy-nine".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 109 147 189 231 243 297 327 441 539 567 693 729 763 891 981 1199 1323 1617 1701 2079 2289 2673 2943 3597 3969 4851 5103 5341 6237 6867 8019 8393 8829 10791 11907 14553 16023 18711 20601 25179 26487 32373 35721 43659 48069 56133 58751 61803 75537 79461 97119 130977 144207 176253 185409 226611 291357 392931 432621 528759 556227 679833 874071 1297863 1586277 2039499 3893589 4758831 6118497 14276493 42829479