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42349494 = 23116167157
BaseRepresentation
bin1010000110001…
…1001110110110
32221200120120210
42201203032312
541320140434
64111410250
71022651625
oct241431666
987616523
1042349494
11219a5890
1212223986
138a0a095
1458a56bc
153ab7ee9
hex28633b6

42349494 has 64 divisors (see below), whose sum is σ = 95922432. Its totient is φ = 12355200.

The previous prime is 42349481. The next prime is 42349501. The reversal of 42349494 is 49494324.

It is a happy number.

42349494 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 an unprimeable number.

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, 269664 + ... + 269820.

It is an arithmetic number, because the mean of its divisors is an integer number (1498788).

Almost surely, 242349494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42349494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47961216).

42349494 is an abundant number, since it is smaller than the sum of its proper divisors (53572938).

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

42349494 is a wasteful number, since it uses less digits than its factorization.

42349494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301.

The product of its digits is 124416, while the sum is 39.

The square root of 42349494 is about 6507.6488841977. The cubic root of 42349494 is about 348.5641694429.

The spelling of 42349494 in words is "forty-two million, three hundred forty-nine thousand, four hundred ninety-four".

Divisors: 1 2 3 6 11 22 33 61 66 67 122 134 157 183 201 314 366 402 471 671 737 942 1342 1474 1727 2013 2211 3454 4026 4087 4422 5181 8174 9577 10362 10519 12261 19154 21038 24522 28731 31557 44957 57462 63114 89914 105347 115709 134871 210694 231418 269742 316041 347127 632082 641659 694254 1283318 1924977 3849954 7058249 14116498 21174747 42349494