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42676440 = 23352291553
BaseRepresentation
bin1010001011001…
…1000011011000
32222022012001220
42202303003120
541411121230
64122412040
71025513052
oct242630330
988265056
1042676440
11220a9494
1212361020
138ac2b41
14594c8d2
153b2ed10
hex28b30d8

42676440 has 64 divisors (see below), whose sum is σ = 128671200. Its totient is φ = 11323392.

The previous prime is 42676433. The next prime is 42676441. The reversal of 42676440 is 4467624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42676441) 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 15 ways as a sum of consecutive naturals, for example, 26704 + ... + 28256.

Almost surely, 242676440 is an apocalyptic number.

42676440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42676440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64335600).

42676440 is an abundant number, since it is smaller than the sum of its proper divisors (85994760).

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

42676440 is a wasteful number, since it uses less digits than its factorization.

42676440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 42676440 is about 6532.7207195777. The cubic root of 42676440 is about 349.4588644610.

The spelling of 42676440 in words is "forty-two million, six hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1553 1832 2290 2748 3106 3435 4580 4659 5496 6212 6870 7765 9160 9318 12424 13740 15530 18636 23295 27480 31060 37272 46590 62120 93180 186360 355637 711274 1066911 1422548 1778185 2133822 2845096 3556370 4267644 5334555 7112740 8535288 10669110 14225480 21338220 42676440