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3025142406 = 23211133113779
BaseRepresentation
bin1011010001010000…
…0000001010000110
321210211100011020100
42310110000022012
522143414024111
61220103144530
7134652200106
oct26424001206
97724304210
103025142406
1113126832a0
12705145146
133929784c0
14209aad206
1512a8ad756
hexb4500286

3025142406 has 96 divisors (see below), whose sum is σ = 7727166720. Its totient is φ = 843249600.

The previous prime is 3025142389. The next prime is 3025142429. The reversal of 3025142406 is 6042415203.

3025142406 is a `hidden beast` number, since 3 + 0 + 251 + 4 + 2 + 406 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3025142406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 798625 + ... + 802403.

It is an arithmetic number, because the mean of its divisors is an integer number (80491320).

Almost surely, 23025142406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3025142406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863583360).

3025142406 is an abundant number, since it is smaller than the sum of its proper divisors (4702024314).

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

3025142406 is a wasteful number, since it uses less digits than its factorization.

3025142406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4122 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3025142406 is about 55001.2945847641. The cubic root of 3025142406 is about 1446.2674361728.

Adding to 3025142406 its reverse (6042415203), we get a palindrome (9067557609).

The spelling of 3025142406 in words is "three billion, twenty-five million, one hundred forty-two thousand, four hundred six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 311 429 622 858 933 1287 1866 2574 2799 3421 3779 4043 5598 6842 7558 8086 10263 11337 12129 20526 22674 24258 30789 34011 36387 41569 44473 49127 61578 68022 72774 83138 88946 98254 124707 133419 147381 249414 266838 294762 374121 400257 442143 540397 748242 800514 884286 1080794 1175269 1621191 2350538 3242382 3525807 4863573 7051614 9727146 10577421 12927959 15278497 21154842 25855918 30556994 38783877 45835491 77567754 91670982 116351631 137506473 168063467 232703262 275012946 336126934 504190401 1008380802 1512571203 3025142406