Search a number
-
+
5760831744 = 28325942379
BaseRepresentation
bin1010101110101111…
…10101000100000000
3112212111000120111200
411113113311010000
543244233103434
62351350341200
7262521155553
oct52727650400
915774016450
105760831744
112496926178
12114935a800
1370a6796a5
143c915269a
1523ab43199
hex1575f5100

5760831744 has 108 divisors (see below), whose sum is σ = 16891820400. Its totient is φ = 1887685632.

The previous prime is 5760831709. The next prime is 5760831751. The reversal of 5760831744 is 4471380675.

5760831744 is a `hidden beast` number, since 5 + 7 + 608 + 31 + 7 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5760831744.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114747 + ... + 157125.

Almost surely, 25760831744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5760831744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445910200).

5760831744 is an abundant number, since it is smaller than the sum of its proper divisors (11130988656).

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

5760831744 is a wasteful number, since it uses less digits than its factorization.

5760831744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42460 (or 42443 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5760831744 is about 75900.1432409716. The cubic root of 5760831744 is about 1792.6481764495.

The spelling of 5760831744 in words is "five billion, seven hundred sixty million, eight hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 128 144 177 192 236 256 288 354 384 472 531 576 708 768 944 1062 1152 1416 1888 2124 2304 2832 3776 4248 5664 7552 8496 11328 15104 16992 22656 33984 42379 45312 67968 84758 127137 135936 169516 254274 339032 381411 508548 678064 762822 1017096 1356128 1525644 2034192 2500361 2712256 3051288 4068384 5000722 5424512 6102576 7501083 8136768 10001444 10849024 12205152 15002166 16273536 20002888 22503249 24410304 30004332 32547072 40005776 45006498 48820608 60008664 80011552 90012996 97641216 120017328 160023104 180025992 240034656 320046208 360051984 480069312 640092416 720103968 960138624 1440207936 1920277248 2880415872 5760831744