Search a number
-
+
42461300 = 2252760659
BaseRepresentation
bin1010000111111…
…0100001110100
32221220020221202
42201332201310
541332230200
64114032032
71023625610
oct241764164
987806852
1042461300
1121a71892
1212278618
138a48c3b
1458d4340
153adb1d5
hex287e874

42461300 has 36 divisors (see below), whose sum is σ = 105305760. Its totient is φ = 14557920.

The previous prime is 42461269. The next prime is 42461357. The reversal of 42461300 is 316424.

It is a happy number.

42461300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29630 + ... + 31029.

It is an arithmetic number, because the mean of its divisors is an integer number (2925160).

Almost surely, 242461300 is an apocalyptic number.

It is an amenable number.

42461300 is an abundant number, since it is smaller than the sum of its proper divisors (62844460).

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

42461300 is a wasteful number, since it uses less digits than its factorization.

42461300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60680 (or 60673 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 42461300 is about 6516.2335746964. The cubic root of 42461300 is about 348.8706455151.

Adding to 42461300 its reverse (316424), we get a palindrome (42777724).

The spelling of 42461300 in words is "forty-two million, four hundred sixty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 60659 121318 242636 303295 424613 606590 849226 1213180 1516475 1698452 2123065 3032950 4246130 6065900 8492260 10615325 21230650 42461300