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42261054 = 23111967503
BaseRepresentation
bin1010000100110…
…1101000111110
32221112002021020
42201031220332
541304323204
64105445010
71022133033
oct241155076
987462236
1042261054
11219453a0
12121a0766
1389a8a54
14588138a
153a9bbd9
hex284da3e

42261054 has 64 divisors (see below), whose sum is σ = 98703360. Its totient is φ = 11927520.

The previous prime is 42261053. The next prime is 42261061. The reversal of 42261054 is 45016224.

42261054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42261053) 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 31 ways as a sum of consecutive naturals, for example, 83767 + ... + 84269.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 242261054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42261054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49351680).

42261054 is an abundant number, since it is smaller than the sum of its proper divisors (56442306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42261054 is a wasteful number, since it uses less digits than its factorization.

42261054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 42261054 is about 6500.8502520824. The cubic root of 42261054 is about 348.3213605667.

Adding to 42261054 its reverse (45016224), we get a palindrome (87277278).

The spelling of 42261054 in words is "forty-two million, two hundred sixty-one thousand, fifty-four".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 67 114 134 201 209 402 418 503 627 737 1006 1254 1273 1474 1509 2211 2546 3018 3819 4422 5533 7638 9557 11066 14003 16599 19114 28006 28671 33198 33701 42009 57342 67402 84018 101103 105127 202206 210254 315381 370711 630762 640319 741422 1112133 1280638 1920957 2224266 3841914 7043509 14087018 21130527 42261054