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42204591 = 33111317643
BaseRepresentation
bin1010000011111…
…1110110101111
32221102012211000
42200333312233
541301021331
64104331343
71021506312
oct240776657
987365730
1042204591
1121906a30
1212173b53
138989140
145868979
153a8a0e6
hex283fdaf

42204591 has 64 divisors (see below), whose sum is σ = 77898240. Its totient is φ = 22187520.

The previous prime is 42204571. The next prime is 42204611. The reversal of 42204591 is 19540224.

It is an interprime number because it is at equal distance from previous prime (42204571) and next prime (42204611).

It is not a de Polignac number, because 42204591 - 26 = 42204527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42204511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65316 + ... + 65958.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 242204591 is an apocalyptic number.

42204591 is a deficient number, since it is larger than the sum of its proper divisors (35693649).

42204591 is a wasteful number, since it uses less digits than its factorization.

42204591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42204591 is about 6496.5060609531. The cubic root of 42204591 is about 348.1661661859.

The spelling of 42204591 in words is "forty-two million, two hundred four thousand, five hundred ninety-one".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 143 153 187 221 297 351 429 459 561 643 663 1287 1683 1929 1989 2431 3861 5049 5787 5967 7073 7293 8359 10931 17361 21219 21879 25077 32793 63657 65637 75231 91949 98379 120241 142103 190971 225693 275847 295137 360723 426309 827541 1082169 1278927 1563133 2482623 3246507 3836781 4689399 14068197 42204591