Search a number
-
+
632640208 = 24233797479
BaseRepresentation
bin100101101101010…
…101001011010000
31122002102110012211
4211231111023100
52243423441313
6142435401504
721451232044
oct4555251320
91562373184
10632640208
112a5121a52
12157a53294
13a10b6525
1460042024
153a818e3d
hex25b552d0

632640208 has 80 divisors (see below), whose sum is σ = 1329914880. Its totient is φ = 290746368.

The previous prime is 632640161. The next prime is 632640221. The reversal of 632640208 is 802046236.

It is a self number, because there is not a number n which added to its sum of digits gives 632640208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320513 + ... + 1320991.

It is an arithmetic number, because the mean of its divisors is an integer number (16623936).

Almost surely, 2632640208 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 632640208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664957440).

632640208 is an abundant number, since it is smaller than the sum of its proper divisors (697274672).

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

632640208 is a wasteful number, since it uses less digits than its factorization.

632640208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 632640208 is about 25152.3400104245. The cubic root of 632640208 is about 858.4577587513.

The spelling of 632640208 in words is "six hundred thirty-two million, six hundred forty thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 37 46 74 92 97 148 184 194 296 368 388 479 592 776 851 958 1552 1702 1916 2231 3404 3589 3832 4462 6808 7178 7664 8924 11017 13616 14356 17723 17848 22034 28712 35446 35696 44068 46463 57424 70892 82547 88136 92926 141784 165094 176272 185852 283568 330188 371704 407629 660376 743408 815258 1068649 1320752 1630516 1719131 2137298 3261032 3438262 4274596 6522064 6876524 8549192 13753048 17098384 27506096 39540013 79080026 158160052 316320104 632640208