Search a number
-
+
2465143328 = 256721312
BaseRepresentation
bin1001001011101111…
…0001101000100000
320100210121020220202
42102323301220200
520022034041303
61044340324332
7115042241534
oct22273615040
96323536822
102465143328
11105556673a
125896a36a8
133039469bb
14195579bc4
15e6642c88
hex92ef1a20

2465143328 has 54 divisors (see below), whose sum is σ = 4964664663. Its totient is φ = 1204906560.

The previous prime is 2465143309. The next prime is 2465143349. The reversal of 2465143328 is 8233415642.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1232571664 + 1232571664 = 35108^2 + 35108^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=35108.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2465143291 and 2465143300.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18817823 + ... + 18817953.

Almost surely, 22465143328 is an apocalyptic number.

It is an amenable number.

2465143328 is an abundant number, since it is smaller than the sum of its proper divisors (2499521335).

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

2465143328 is an frugal number, since it uses more digits than its factorization.

2465143328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 200 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 2465143328 is about 49650.2097477946. The cubic root of 2465143328 is about 1350.8715593771.

The spelling of 2465143328 in words is "two billion, four hundred sixty-five million, one hundred forty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 67 131 134 262 268 524 536 1048 1072 2096 2144 4192 4489 8777 8978 17161 17554 17956 34322 35108 35912 68644 70216 71824 137288 140432 143648 274576 280864 549152 588059 1149787 1176118 2299574 2352236 4599148 4704472 9198296 9408944 18396592 18817888 36793184 77035729 154071458 308142916 616285832 1232571664 2465143328