Search a number
-
+
642689478 = 23419593539
BaseRepresentation
bin100110010011101…
…010100111000110
31122210100000020000
4212103222213012
52304012030403
6143435022130
721632525154
oct4623524706
91583300200
10642689478
112aa866132
1215b29a946
13a31c4642
14614da3d4
153b6517a3
hex264ea9c6

642689478 has 80 divisors (see below), whose sum is σ = 1542024000. Its totient is φ = 199458288.

The previous prime is 642689477. The next prime is 642689479. The reversal of 642689478 is 874986246.

642689478 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (642689477) and next prime (642689479).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642689477) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179833 + ... + 183371.

It is an arithmetic number, because the mean of its divisors is an integer number (19275300).

Almost surely, 2642689478 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642689478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771012000).

642689478 is an abundant number, since it is smaller than the sum of its proper divisors (899334522).

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

642689478 is a wasteful number, since it uses less digits than its factorization.

642689478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3622 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 642689478 is about 25351.3210306682. The cubic root of 642689478 is about 862.9793358274.

The spelling of 642689478 in words is "six hundred forty-two million, six hundred eighty-nine thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 59 81 114 118 162 171 177 342 354 513 531 1026 1062 1121 1539 1593 2242 3078 3186 3363 3539 4779 6726 7078 9558 10089 10617 20178 21234 30267 31851 60534 63702 67241 90801 95553 134482 181602 191106 201723 208801 286659 403446 417602 573318 605169 626403 1210338 1252806 1815507 1879209 3631014 3758418 3967219 5446521 5637627 7934438 10893042 11275254 11901657 16912881 23803314 33825762 35704971 71409942 107114913 214229826 321344739 642689478