Search a number
-
+
2542567144 = 231321880597
BaseRepresentation
bin1001011110001100…
…0111111011101000
320120012021210102111
42113203013323220
520201344122034
61100144012104
7120002315125
oct22743077350
96505253374
102542567144
111095238367
125ab601034
133169b4600
141a197174c
15ed338364
hex978c7ee8

2542567144 has 24 divisors (see below), whose sum is σ = 5162241510. Its totient is φ = 1173491904.

The previous prime is 2542567133. The next prime is 2542567171. The reversal of 2542567144 is 4417652452.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2002562500 + 540004644 = 44750^2 + 23238^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2542567097 and 2542567106.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 938947 + ... + 941650.

Almost surely, 22542567144 is an apocalyptic number.

It is an amenable number.

2542567144 is an abundant number, since it is smaller than the sum of its proper divisors (2619674366).

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

2542567144 is a wasteful number, since it uses less digits than its factorization.

2542567144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880629 (or 1880612 counting only the distinct ones).

The product of its digits is 268800, while the sum is 40.

The square root of 2542567144 is about 50423.8747420307. The cubic root of 2542567144 is about 1364.8684982917.

The spelling of 2542567144 in words is "two billion, five hundred forty-two million, five hundred sixty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 676 1352 1880597 3761194 7522388 15044776 24447761 48895522 97791044 195582088 317820893 635641786 1271283572 2542567144