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2893148944 = 24721721132
BaseRepresentation
bin1010110001110001…
…1111001100010000
321110121222012020121
42230130133030100
521411121231234
61155030120024
7131460234400
oct25434371420
97417865217
102893148944
11125511a694
12688ab0014
1337151256a
141d6350800
1511ded94b4
hexac71f310

2893148944 has 135 divisors (see below), whose sum is σ = 6988628127. Its totient is φ = 1156657152.

The previous prime is 2893148933. The next prime is 2893148987. The reversal of 2893148944 is 4498413982.

The square root of 2893148944 is 53788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 352988944 + 2540160000 = 18788^2 + 50400^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2893148891 and 2893148900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25603032 + ... + 25603144.

Almost surely, 22893148944 is an apocalyptic number.

2893148944 is the 53788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2893148944

2893148944 is an abundant number, since it is smaller than the sum of its proper divisors (4095479183).

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

2893148944 is a wasteful number, since it uses less digits than its factorization.

2893148944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 139 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 52.

The cubic root of 2893148944 is about 1424.9192844812.

The spelling of 2893148944 in words is "two billion, eight hundred ninety-three million, one hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 113 119 136 196 226 238 272 289 392 452 476 578 784 791 833 904 952 1156 1582 1666 1808 1904 1921 2023 2312 3164 3332 3842 4046 4624 5537 6328 6664 7684 8092 11074 12656 12769 13328 13447 14161 15368 16184 22148 25538 26894 28322 30736 32368 32657 44296 51076 53788 56644 65314 88592 89383 94129 102152 107576 113288 130628 178766 188258 204304 215152 217073 226576 228599 261256 357532 376516 434146 457198 522512 625681 715064 753032 868292 914396 1251362 1430128 1506064 1519511 1600193 1736584 1828792 2502724 3039022 3200386 3473168 3657584 3690241 5005448 6078044 6400772 7380482 10010896 10636577 12156088 12801544 14760964 21273154 24312176 25603088 25831687 29521928 42546308 51663374 59043856 85092616 103326748 170185232 180821809 206653496 361643618 413306992 723287236 1446574472 2893148944