Search a number
-
+
2887142148 = 22321119936637
BaseRepresentation
bin1010110000010110…
…0100101100000100
321110012200000110200
42230011210230010
521403102022043
61154253250500
7131355206022
oct25405445404
97405600420
102887142148
1112517976a0
12686a93a30
133701bb447
141d5629712
1511d6ee7d3
hexac164b04

2887142148 has 72 divisors (see below), whose sum is σ = 8001739200. Its totient is φ = 870471360.

The previous prime is 2887142129. The next prime is 2887142149. The reversal of 2887142148 is 8412417882.

It is a super-3 number, since 3×28871421483 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2887142149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60486 + ... + 97122.

Almost surely, 22887142148 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 2887142148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000869600).

2887142148 is an abundant number, since it is smaller than the sum of its proper divisors (5114597052).

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

2887142148 is a wasteful number, since it uses less digits than its factorization.

2887142148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36857 (or 36852 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 2887142148 is about 53732.1332909833. The cubic root of 2887142148 is about 1423.9324554767.

The spelling of 2887142148 in words is "two billion, eight hundred eighty-seven million, one hundred forty-two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 36637 39402 73274 78804 109911 146548 219822 329733 403007 439644 659466 806014 1209021 1318932 1612028 2418042 3627063 4836084 7254126 7290763 14508252 14581526 21872289 29163052 43744578 65616867 80198393 87489156 131233734 160396786 240595179 262467468 320793572 481190358 721785537 962380716 1443571074 2887142148