Search a number
-
+
637200642 = 231321036101
BaseRepresentation
bin100101111110101…
…110100100000010
31122102000010221210
4211332232210002
52301110410032
6143121230550
721535054551
oct4576564402
91572003853
10637200642
112a7757301
12159492456
13a2022200
14608abd98
153ae1a2cc
hex25fae902

637200642 has 48 divisors (see below), whose sum is σ = 1393599168. Its totient is φ = 194126400.

The previous prime is 637200631. The next prime is 637200659. The reversal of 637200642 is 246002736.

637200642 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101392 + ... + 107492.

It is an arithmetic number, because the mean of its divisors is an integer number (29033316).

Almost surely, 2637200642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 637200642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696799584).

637200642 is an abundant number, since it is smaller than the sum of its proper divisors (756398526).

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

637200642 is a wasteful number, since it uses less digits than its factorization.

637200642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6235 (or 6222 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 637200642 is about 25242.8334780389. The cubic root of 637200642 is about 860.5155742093.

The spelling of 637200642 in words is "six hundred thirty-seven million, two hundred thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 103 169 206 309 338 507 618 1014 1339 2678 4017 6101 8034 12202 17407 18303 34814 36606 52221 79313 104442 158626 237939 475878 628403 1031069 1256806 1885209 2062138 3093207 3770418 6186414 8169239 16338478 24507717 49015434 106200107 212400214 318600321 637200642