Search a number
-
+
642488 = 237211149
BaseRepresentation
bin10011100110110111000
31012122022212
42130312320
5131024423
621434252
75314100
oct2346670
91178285
10642488
113a9790
1226b988
13196592
1412a200
15ca578
hex9cdb8

642488 has 48 divisors (see below), whose sum is σ = 1539000. Its totient is φ = 248640.

The previous prime is 642487. The next prime is 642517. The reversal of 642488 is 884246.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4238 + ... + 4386.

2642488 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 642488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769500).

642488 is an abundant number, since it is smaller than the sum of its proper divisors (896512).

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

642488 is a wasteful number, since it uses less digits than its factorization.

642488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

The square root of 642488 is about 801.5534916648. The cubic root of 642488 is about 86.2889147367.

It can be divided in two parts, 64 and 2488, that added together give a palindrome (2552).

The spelling of 642488 in words is "six hundred forty-two thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 149 154 196 298 308 392 539 596 616 1043 1078 1192 1639 2086 2156 3278 4172 4312 6556 7301 8344 11473 13112 14602 22946 29204 45892 58408 80311 91784 160622 321244 642488