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42941184 = 28311131723
BaseRepresentation
bin1010001111001…
…1101100000000
32222210122020020
42203303230000
541443104214
64132213440
71030664646
oct243635400
988718206
1042941184
112226a390
121246a280
138b864b0
1459bb196
153b834a9
hex28f3b00

42941184 has 288 divisors, whose sum is σ = 148345344. Its totient is φ = 10813440.

The previous prime is 42941177. The next prime is 42941189. The reversal of 42941184 is 48114924.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42941189) 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 31 ways as a sum of consecutive naturals, for example, 1866997 + ... + 1867019.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 242941184 is an apocalyptic number.

42941184 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 42941184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172672).

42941184 is an abundant number, since it is smaller than the sum of its proper divisors (105404160).

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

42941184 is a wasteful number, since it uses less digits than its factorization.

42941184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 69 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 42941184 is about 6552.9523117447. The cubic root of 42941184 is about 350.1799999298.

The spelling of 42941184 in words is "forty-two million, nine hundred forty-one thousand, one hundred eighty-four".