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4890831408 = 243318162549
BaseRepresentation
bin1001000111000010…
…00010101000110000
3110121211221222102000
410203201002220300
540004023101113
62125151254000
7232125244461
oct44341025060
913554858360
104890831408
11208a824031
12b45b1a300
135cc357aa8
143457a4d68
151d9590373
hex123842a30

4890831408 has 80 divisors (see below), whose sum is σ = 14116284000. Its totient is φ = 1621244160.

The previous prime is 4890831397. The next prime is 4890831433. The reversal of 4890831408 is 8041380984.

It is a super-2 number, since 2×48908314082 = 47840463722958524928, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 46918 + ... + 109466.

It is an arithmetic number, because the mean of its divisors is an integer number (176453550).

Almost surely, 24890831408 is an apocalyptic number.

4890831408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4890831408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058142000).

4890831408 is an abundant number, since it is smaller than the sum of its proper divisors (9225452592).

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

4890831408 is a wasteful number, since it uses less digits than its factorization.

4890831408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62747 (or 62735 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4890831408 is about 69934.4793932149. The cubic root of 4890831408 is about 1697.4392134824.

The spelling of 4890831408 in words is "four billion, eight hundred ninety million, eight hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 181 216 362 432 543 724 1086 1448 1629 2172 2896 3258 4344 4887 6516 8688 9774 13032 19548 26064 39096 62549 78192 125098 187647 250196 375294 500392 562941 750588 1000784 1125882 1501176 1688823 2251764 3002352 3377646 4503528 6755292 9007056 11321369 13510584 22642738 27021168 33964107 45285476 67928214 90570952 101892321 135856428 181141904 203784642 271712856 305676963 407569284 543425712 611353926 815138568 1222707852 1630277136 2445415704 4890831408