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42213384 = 23321733389
BaseRepresentation
bin1010000100001…
…0000000001000
32221102122212200
42201002000020
541301312014
64104440200
71021544043
oct241020010
987378780
1042213384
11219125a4
1212179060
138990145
14586bc5a
153a8ca09
hex2842008

42213384 has 48 divisors (see below), whose sum is σ = 115022700. Its totient is φ = 13985664.

The previous prime is 42213377. The next prime is 42213419. The reversal of 42213384 is 48331224.

It can be written as a sum of positive squares in 2 ways, for example, as 30802500 + 11410884 = 5550^2 + 3378^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10762 + ... + 14150.

Almost surely, 242213384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57511350).

42213384 is an abundant number, since it is smaller than the sum of its proper divisors (72809316).

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

42213384 is a wasteful number, since it uses less digits than its factorization.

42213384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3567 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 42213384 is about 6497.1827740952. The cubic root of 42213384 is about 348.1903437492.

The spelling of 42213384 in words is "forty-two million, two hundred thirteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 519 692 1038 1384 1557 2076 3114 3389 4152 6228 6778 10167 12456 13556 20334 27112 30501 40668 61002 81336 122004 244008 586297 1172594 1758891 2345188 3517782 4690376 5276673 7035564 10553346 14071128 21106692 42213384