Search a number
-
+
42742812 = 22371992557
BaseRepresentation
bin1010001100001…
…1010000011100
32222102120010010
42203003100130
541420232222
64124043220
71026210420
oct243032034
988376103
1042742812
1122144342
1212393510
138b17108
145968b80
153b4480c
hex28c341c

42742812 has 48 divisors (see below), whose sum is σ = 114598400. Its totient is φ = 12146112.

The previous prime is 42742793. The next prime is 42742813. The reversal of 42742812 is 21824724.

It is a self number, because there is not a number n which added to its sum of digits gives 42742812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42742813) 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, 15438 + ... + 17994.

Almost surely, 242742812 is an apocalyptic number.

42742812 is a gapful number since it is divisible by the number (42) 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 42742812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57299200).

42742812 is an abundant number, since it is smaller than the sum of its proper divisors (71855588).

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

42742812 is a wasteful number, since it uses less digits than its factorization.

42742812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2768 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 42742812 is about 6537.7987121049. The cubic root of 42742812 is about 349.6399344684.

The spelling of 42742812 in words is "forty-two million, seven hundred forty-two thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2557 2786 4179 5114 5572 7671 8358 10228 15342 16716 17899 30684 35798 53697 71596 107394 214788 508843 1017686 1526529 2035372 3053058 3561901 6106116 7123802 10685703 14247604 21371406 42742812