Search a number
-
+
2445025920 = 27351319721
BaseRepresentation
bin1001000110111100…
…0010001010000000
320022101202012000120
42101233002022000
520001411312140
61042341220240
7114406243311
oct22157021200
96271665016
102445025920
111045176187
12582a01680
132cc721ccc
14192a20608
15e49bc1d0
hex91bc2280

2445025920 has 128 divisors (see below), whose sum is σ = 7853820480. Its totient is φ = 646963200.

The previous prime is 2445025871. The next prime is 2445025927. The reversal of 2445025920 is 295205442.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2445025927) by changing a digit.

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, 246660 + ... + 256380.

Almost surely, 22445025920 is an apocalyptic number.

2445025920 is a gapful number since it is divisible by the number (20) 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 2445025920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3926910240).

2445025920 is an abundant number, since it is smaller than the sum of its proper divisors (5408794560).

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

2445025920 is a wasteful number, since it uses less digits than its factorization.

2445025920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2445025920 is about 49447.2033587341. The cubic root of 2445025920 is about 1347.1868112370.

The spelling of 2445025920 in words is "two billion, four hundred forty-five million, twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 131 160 192 240 262 320 384 393 480 524 640 655 786 960 1048 1310 1572 1920 1965 2096 2620 3144 3930 4192 5240 6288 7860 8384 9721 10480 12576 15720 16768 19442 20960 25152 29163 31440 38884 41920 48605 50304 58326 62880 77768 83840 97210 116652 125760 145815 155536 194420 233304 251520 291630 311072 388840 466608 583260 622144 777680 933216 1166520 1244288 1273451 1555360 1866432 2333040 2546902 3110720 3732864 3820353 4666080 5093804 6221440 6367255 7640706 9332160 10187608 12734510 15281412 18664320 19101765 20375216 25469020 30562824 38203530 40750432 50938040 61125648 76407060 81500864 101876080 122251296 152814120 163001728 203752160 244502592 305628240 407504320 489005184 611256480 815008640 1222512960 2445025920