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42141294 = 23213732467
BaseRepresentation
bin1010000011000…
…0011001101110
32221021222222200
42200300121232
541242010134
64103122330
71021123626
oct240603156
987258880
1042141294
1121873418
12121433a6
1389663a0
14584d886
153a76499
hex283066e

42141294 has 48 divisors (see below), whose sum is σ = 99717072. Its totient is φ = 12783744.

The previous prime is 42141293. The next prime is 42141299. The reversal of 42141294 is 49214124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42141293) 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 23 ways as a sum of consecutive naturals, for example, 15849 + ... + 18315.

It is an arithmetic number, because the mean of its divisors is an integer number (2077439).

Almost surely, 242141294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42141294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49858536).

42141294 is an abundant number, since it is smaller than the sum of its proper divisors (57575778).

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

42141294 is a wasteful number, since it uses less digits than its factorization.

42141294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2558 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 42141294 is about 6491.6326143737. The cubic root of 42141294 is about 347.9920232020.

The spelling of 42141294 in words is "forty-two million, one hundred forty-one thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 39 73 78 117 146 219 234 438 657 949 1314 1898 2467 2847 4934 5694 7401 8541 14802 17082 22203 32071 44406 64142 96213 180091 192426 288639 360182 540273 577278 1080546 1620819 2341183 3241638 4682366 7023549 14047098 21070647 42141294