Search a number
-
+
2828055832 = 237532633623
BaseRepresentation
bin1010100010010000…
…1011010100011000
321022002111010021121
42220210023110120
521242440241312
61144343015024
7130040035510
oct25044132430
97262433247
102828055832
111221400228
1266b13a474
13360ba1324
141cb848840
1511842c707
hexa890b518

2828055832 has 64 divisors (see below), whose sum is σ = 6199649280. Its totient is φ = 1184307072.

The previous prime is 2828055803. The next prime is 2828055871. The reversal of 2828055832 is 2385508282.

It is a happy number.

It is a congruent number.

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, 778773 + ... + 782395.

It is an arithmetic number, because the mean of its divisors is an integer number (96869520).

Almost surely, 22828055832 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 2828055832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099824640).

2828055832 is an abundant number, since it is smaller than the sum of its proper divisors (3371593448).

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

2828055832 is a wasteful number, since it uses less digits than its factorization.

2828055832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 43.

The square root of 2828055832 is about 53179.4681432600. The cubic root of 2828055832 is about 1414.1516775407.

The spelling of 2828055832 in words is "two billion, eight hundred twenty-eight million, fifty-five thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 53 56 106 212 263 371 424 526 742 1052 1484 1841 2104 2968 3623 3682 7246 7364 13939 14492 14728 25361 27878 28984 50722 55756 97573 101444 111512 192019 195146 202888 384038 390292 768076 780584 952849 1344133 1536152 1905698 2688266 3811396 5376532 6669943 7622792 10753064 13339886 26679772 50500997 53359544 101001994 202003988 353506979 404007976 707013958 1414027916 2828055832