Search a number
-
+
2481916192 = 257193715761
BaseRepresentation
bin1001001111101111…
…0000100100100000
320101222011101221221
42103323300210200
520040332304232
61050140024424
7115334640160
oct22373604440
96358141857
102481916192
111063a82408
12593232114
1330726a282
141978a45a0
15e7d57897
hex93ef0920

2481916192 has 96 divisors (see below), whose sum is σ = 6037476480. Its totient is φ = 980398080.

The previous prime is 2481916189. The next prime is 2481916201. The reversal of 2481916192 is 2916191842.

It is a super-2 number, since 2×24819161922 = 12319815968223561728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149592 + ... + 165352.

It is an arithmetic number, because the mean of its divisors is an integer number (62890380).

Almost surely, 22481916192 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 2481916192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018738240).

2481916192 is an abundant number, since it is smaller than the sum of its proper divisors (3555560288).

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

2481916192 is a wasteful number, since it uses less digits than its factorization.

2481916192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15834 (or 15826 counting only the distinct ones).

The product of its digits is 62208, while the sum is 43.

The square root of 2481916192 is about 49818.8337077455. The cubic root of 2481916192 is about 1353.9284188118.

The spelling of 2481916192 in words is "two billion, four hundred eighty-one million, nine hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 37 38 56 74 76 112 133 148 152 224 259 266 296 304 518 532 592 608 703 1036 1064 1184 1406 2072 2128 2812 4144 4256 4921 5624 8288 9842 11248 15761 19684 22496 31522 39368 63044 78736 110327 126088 157472 220654 252176 299459 441308 504352 583157 598918 882616 1166314 1197836 1765232 2096213 2332628 2395672 3530464 4082099 4192426 4665256 4791344 8164198 8384852 9330512 9582688 11079983 16328396 16769704 18661024 22159966 32656792 33539408 44319932 65313584 67078816 77559881 88639864 130627168 155119762 177279728 310239524 354559456 620479048 1240958096 2481916192