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42374046 = 231113229131
BaseRepresentation
bin1010000110100…
…1001110011110
32221201211021010
42201221032132
541321432141
64112120050
71023113331
oct241511636
987654233
1042374046
1121a12280
1212236026
138a18300
1458b0618
153ac0416
hex286939e

42374046 has 96 divisors (see below), whose sum is σ = 104353920. Its totient is φ = 11356800.

The previous prime is 42374041. The next prime is 42374051. The reversal of 42374046 is 64047324.

42374046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42374041) and next prime (42374051).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42374041) 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 47 ways as a sum of consecutive naturals, for example, 323401 + ... + 323531.

It is an arithmetic number, because the mean of its divisors is an integer number (1087020).

Almost surely, 242374046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42374046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52176960).

42374046 is an abundant number, since it is smaller than the sum of its proper divisors (61979874).

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

42374046 is a wasteful number, since it uses less digits than its factorization.

42374046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 42374046 is about 6509.5350064348. The cubic root of 42374046 is about 348.6315161287.

The spelling of 42374046 in words is "forty-two million, three hundred seventy-four thousand, forty-six".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 131 143 169 174 262 286 319 338 377 393 429 507 638 754 786 858 957 1014 1131 1441 1703 1859 1914 2262 2882 3406 3718 3799 4147 4323 4901 5109 5577 7598 8294 8646 9802 10218 11154 11397 12441 14703 18733 22139 22794 24882 29406 37466 41789 44278 49387 53911 56199 66417 83578 98774 107822 112398 125367 132834 148161 161733 243529 250734 296322 323466 487058 543257 642031 730587 1086514 1284062 1461174 1629771 1926093 3259542 3852186 7062341 14124682 21187023 42374046