Search a number
-
+
2480150142 = 2321921013779
BaseRepresentation
bin1001001111010100…
…0001011001111110
320101211211200101200
42103311001121332
520034404301032
61050034120330
7115313633301
oct22365013176
96354750350
102480150142
111062a86568
125927200a6
13306a9c482
14197564b38
15e7b0947c
hex93d4167e

2480150142 has 72 divisors (see below), whose sum is σ = 5729036040. Its totient is φ = 775245600.

The previous prime is 2480150069. The next prime is 2480150159. The reversal of 2480150142 is 2410510842.

It is a super-2 number, since 2×24801501422 = 12302289453725240328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 654409 + ... + 658187.

It is an arithmetic number, because the mean of its divisors is an integer number (79569945).

Almost surely, 22480150142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2480150142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864518020).

2480150142 is an abundant number, since it is smaller than the sum of its proper divisors (3248885898).

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

2480150142 is a wasteful number, since it uses less digits than its factorization.

2480150142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2480150142 is about 49801.1058310958. The cubic root of 2480150142 is about 1353.6072056218.

Adding to 2480150142 its reverse (2410510842), we get a palindrome (4890660984).

The spelling of 2480150142 in words is "two billion, four hundred eighty million, one hundred fifty thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 361 606 722 909 1083 1818 1919 2166 3249 3779 3838 5757 6498 7558 11337 11514 17271 22674 34011 34542 36461 68022 71801 72922 109383 143602 215403 218766 328149 381679 430806 646209 656298 763358 1145037 1292418 1364219 2290074 2728438 3435111 4092657 6870222 7251901 8185314 12277971 14503802 21755703 24555942 43511406 65267109 130534218 137786119 275572238 413358357 826716714 1240075071 2480150142