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42429933 = 3372132467
BaseRepresentation
bin1010000111011…
…0110111101101
32221211122221000
42201312313231
541330224213
64113230513
71023435300
oct241666755
987748830
1042429933
1121a50267
1212262439
138a37890
1458c6b37
153ad1c73
hex2876ded

42429933 has 48 divisors (see below), whose sum is σ = 78778560. Its totient is φ = 22371552.

The previous prime is 42429931. The next prime is 42429941. The reversal of 42429933 is 33992424.

It is not a de Polignac number, because 42429933 - 21 = 42429931 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42429931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15966 + ... + 18432.

It is an arithmetic number, because the mean of its divisors is an integer number (1641220).

Almost surely, 242429933 is an apocalyptic number.

It is an amenable number.

42429933 is a deficient number, since it is larger than the sum of its proper divisors (36348627).

42429933 is a wasteful number, since it uses less digits than its factorization.

42429933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2503 (or 2490 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 42429933 is about 6513.8262948900. The cubic root of 42429933 is about 348.7847184768.

The spelling of 42429933 in words is "forty-two million, four hundred twenty-nine thousand, nine hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 49 63 91 117 147 189 273 351 441 637 819 1323 1911 2457 2467 5733 7401 17199 17269 22203 32071 51807 66609 96213 120883 155421 224497 288639 362649 466263 673491 865917 1087947 1571479 2020473 3263841 4714437 6061419 14143311 42429933