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42466424 = 23711135303
BaseRepresentation
bin1010000111111…
…1110001111000
32221220111222112
42201333301320
541332411144
64114111452
71023646550
oct241776170
987814875
1042466424
1121a75720
121227b588
138a4b380
1458d6160
153adc99e
hex287fc78

42466424 has 64 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 15269760.

The previous prime is 42466421. The next prime is 42466429.

42466424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42466421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5357 + ... + 10659.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 242466424 is an apocalyptic number.

42466424 is a gapful number since it is divisible by the number (44) 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 42466424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

42466424 is an abundant number, since it is smaller than the sum of its proper divisors (64462216).

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

42466424 is a wasteful number, since it uses less digits than its factorization.

42466424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5340 (or 5336 counting only the distinct ones).

The product of its digits is 36864, while the sum is 32.

The square root of 42466424 is about 6516.6267347455. The cubic root of 42466424 is about 348.8846782248.

The spelling of 42466424 in words is "forty-two million, four hundred sixty-six thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 5303 8008 10606 21212 37121 42424 58333 68939 74242 116666 137878 148484 233332 275756 296968 408331 466664 482573 551512 758329 816662 965146 1516658 1633324 1930292 3033316 3266648 3860584 5308303 6066632 10616606 21233212 42466424