Search a number
-
+
42631300 = 22521393067
BaseRepresentation
bin1010001010100…
…0000010000100
32222012220011001
42202220002010
541403200200
64121423044
71025234335
oct242500204
988186131
1042631300
1122078588
121233aa84
138aa842a
14593a28c
153b2176a
hex28a8084

42631300 has 36 divisors (see below), whose sum is σ = 93205840. Its totient is φ = 16924320.

The previous prime is 42631283. The next prime is 42631313. The reversal of 42631300 is 313624.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 12367 + ... + 15433.

Almost surely, 242631300 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 42631300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46602920).

42631300 is an abundant number, since it is smaller than the sum of its proper divisors (50574540).

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

42631300 is a wasteful number, since it uses less digits than its factorization.

42631300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 42631300 is about 6529.2648897100. The cubic root of 42631300 is about 349.3356103646.

Adding to 42631300 its reverse (313624), we get a palindrome (42944924).

The spelling of 42631300 in words is "forty-two million, six hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 139 278 556 695 1390 2780 3067 3475 6134 6950 12268 13900 15335 30670 61340 76675 153350 306700 426313 852626 1705252 2131565 4263130 8526260 10657825 21315650 42631300