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42534261 = 3371141499
BaseRepresentation
bin1010001001000…
…0010101110101
32222000222001000
42202100111311
541342044021
64115353513
71024351410
oct242202565
988028030
1042534261
1122011690
12122b2899
138a73203
145912b77
153b02b26
hex2890575

42534261 has 64 divisors (see below), whose sum is σ = 80640000. Its totient is φ = 21513600.

The previous prime is 42534251. The next prime is 42534269. The reversal of 42534261 is 16243524.

It is not a de Polignac number, because 42534261 - 210 = 42533237 is a prime.

It is a super-2 number, since 2×425342612 = 3618326717632242, which contains 22 as substring.

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 (42534269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84990 + ... + 85488.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 242534261 is an apocalyptic number.

42534261 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42534261 is a deficient number, since it is larger than the sum of its proper divisors (38105739).

42534261 is a wasteful number, since it uses less digits than its factorization.

42534261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 561 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42534261 is about 6521.8295745902. The cubic root of 42534261 is about 349.0703519611.

Adding to 42534261 its reverse (16243524), we get a palindrome (58777785).

The spelling of 42534261 in words is "forty-two million, five hundred thirty-four thousand, two hundred sixty-one".

Divisors: 1 3 7 9 11 21 27 33 41 63 77 99 123 189 231 287 297 369 451 499 693 861 1107 1353 1497 2079 2583 3157 3493 4059 4491 5489 7749 9471 10479 12177 13473 16467 20459 28413 31437 38423 49401 61377 85239 94311 115269 143213 148203 184131 225049 345807 429639 552393 675147 1037421 1288917 1575343 2025441 3866751 4726029 6076323 14178087 42534261