Search a number
-
+
42495642 = 232736883
BaseRepresentation
bin1010001000011…
…0111010011010
32221222000001200
42202012322122
541334330032
64114455030
71024131000
oct242067232
987860050
1042495642
1121a95672
1212294476
138a5b767
145902a70
153ae647c
hex2886e9a

42495642 has 48 divisors (see below), whose sum is σ = 107390400. Its totient is φ = 12139848.

The previous prime is 42495641. The next prime is 42495659. The reversal of 42495642 is 24659424.

42495642 is a `hidden beast` number, since 4 + 2 + 4 + 9 + 5 + 642 = 666.

42495642 is a Rhonda number in base 10.

Its product of digits (69120) is a multiple of the sum of its prime factors (6912).

It is a junction number, because it is equal to n+sod(n) for n = 42495597 and 42495606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42495641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2733 + ... + 9615.

It is an arithmetic number, because the mean of its divisors is an integer number (2237300).

Almost surely, 242495642 is an apocalyptic number.

42495642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42495642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53695200).

42495642 is an abundant number, since it is smaller than the sum of its proper divisors (64894758).

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

42495642 is a wasteful number, since it uses less digits than its factorization.

42495642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6912 (or 6895 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 42495642 is about 6518.8681532916. The cubic root of 42495642 is about 348.9646737806.

The spelling of 42495642 in words is "forty-two million, four hundred ninety-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 6883 13766 20649 41298 48181 61947 96362 123894 144543 289086 337267 433629 674534 867258 1011801 2023602 2360869 3035403 4721738 6070806 7082607 14165214 21247821 42495642