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42493184 = 281271307
BaseRepresentation
bin1010001000011…
…0010100000000
32221221212200122
42202012110000
541334240214
64114435412
71024120556
oct242062400
987855618
1042493184
1121a93838
1212292b68
138a5a5c6
145901bd6
153ae588e
hex2886500

42493184 has 36 divisors (see below), whose sum is σ = 85553664. Its totient is φ = 21063168.

The previous prime is 42493181. The next prime is 42493229. The reversal of 42493184 is 48139424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42493181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31859 + ... + 33165.

Almost surely, 242493184 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 42493184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42776832).

42493184 is an abundant number, since it is smaller than the sum of its proper divisors (43060480).

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

42493184 is a wasteful number, since it uses less digits than its factorization.

42493184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 42493184 is about 6518.6796209048. The cubic root of 42493184 is about 348.9579454694.

The spelling of 42493184 in words is "forty-two million, four hundred ninety-three thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 508 1016 1307 2032 2614 4064 5228 8128 10456 16256 20912 32512 41824 83648 165989 167296 331978 334592 663956 1327912 2655824 5311648 10623296 21246592 42493184