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428241636 = 223234492
BaseRepresentation
bin11001100001100…
…111001011100100
31002211210221002100
4121201213023210
51334112213021
6110254412100
713416664614
oct3141471344
91084727070
10428241636
111aa805309
12bb501030
136a94c124
1440c36a44
15278e1626
hex198672e4

428241636 has 27 divisors (see below), whose sum is σ = 1082813641. Its totient is φ = 142705824.

The previous prime is 428241631. The next prime is 428241661. The reversal of 428241636 is 636142824.

The square root of 428241636 is 20694.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2232036 + 426009600 = 1494^2 + 20640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 428241636.

It is not an unprimeable number, because it can be changed into a prime (428241631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 122440 + ... + 125888.

Almost surely, 2428241636 is an apocalyptic number.

428241636 is the 20694-th square number.

It is an amenable number.

428241636 is an abundant number, since it is smaller than the sum of its proper divisors (654572005).

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

428241636 is an equidigital number, since it uses as much as digits as its factorization.

428241636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6908 (or 3454 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The cubic root of 428241636 is about 753.7539999623.

Multiplying 428241636 by its sum of digits (36), we get a square (15416698896 = 1241642).

428241636 divided by its sum of digits (36) gives a square (11895601 = 34492).

It can be divided in two parts, 428 and 241636, that added together give a square (242064 = 4922).

The spelling of 428241636 in words is "four hundred twenty-eight million, two hundred forty-one thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 3449 6898 10347 13796 20694 31041 41388 62082 124164 11895601 23791202 35686803 47582404 71373606 107060409 142747212 214120818 428241636