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2489619144 = 2332915123689
BaseRepresentation
bin1001010001100100…
…1001001011001000
320102111122202102110
42110121021023020
520044320303034
61051013102320
7115460261565
oct22431111310
96374582373
102489619144
111068363791
125959279a0
13308a3642c
1419890b86c
15e8879de9
hex946492c8

2489619144 has 64 divisors (see below), whose sum is σ = 6481584000. Its totient is φ = 795916800.

The previous prime is 2489619137. The next prime is 2489619149. The reversal of 2489619144 is 4419169842.

It is a super-3 number, since 3×24896191443 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2489619093 and 2489619102.

It is not an unprimeable number, because it can be changed into a prime (2489619149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93252 + ... + 116940.

It is an arithmetic number, because the mean of its divisors is an integer number (101274750).

Almost surely, 22489619144 is an apocalyptic number.

2489619144 is a gapful number since it is divisible by the number (24) 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 2489619144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3240792000).

2489619144 is an abundant number, since it is smaller than the sum of its proper divisors (3991964856).

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

2489619144 is a wasteful number, since it uses less digits than its factorization.

2489619144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23878 (or 23874 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 2489619144 is about 49896.0834535137. The cubic root of 2489619144 is about 1355.3276702867.

The spelling of 2489619144 in words is "two billion, four hundred eighty-nine million, six hundred nineteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 151 174 232 302 348 453 604 696 906 1208 1812 3624 4379 8758 13137 17516 23689 26274 35032 47378 52548 71067 94756 105096 142134 189512 284268 568536 686981 1373962 2060943 2747924 3577039 4121886 5495848 7154078 8243772 10731117 14308156 16487544 21462234 28616312 42924468 85848936 103734131 207468262 311202393 414936524 622404786 829873048 1244809572 2489619144