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2821112328 = 233179717121
BaseRepresentation
bin1010100000100110…
…1100001000001000
321021121102100120210
42220021230020020
521234201043303
61143534121120
7126624026166
oct25011541010
97247370523
102821112328
1112184984a1
126689501a0
1335c60ca48
141ca95c236
15117a0a203
hexa826c208

2821112328 has 64 divisors (see below), whose sum is σ = 7476390720. Its totient is φ = 884019200.

The previous prime is 2821112321. The next prime is 2821112339. The reversal of 2821112328 is 8232111282.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2821112295 and 2821112304.

It is not an unprimeable number, because it can be changed into a prime (2821112321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 392608 + ... + 399728.

It is an arithmetic number, because the mean of its divisors is an integer number (116818605).

Almost surely, 22821112328 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 2821112328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3738195360).

2821112328 is an abundant number, since it is smaller than the sum of its proper divisors (4655278392).

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

2821112328 is a wasteful number, since it uses less digits than its factorization.

2821112328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8118 (or 8114 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 2821112328 is about 53114.1443308654. The cubic root of 2821112328 is about 1412.9933771074.

The spelling of 2821112328 in words is "two billion, eight hundred twenty-one million, one hundred twelve thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 971 1942 2913 3884 5826 7121 7768 11652 14242 16507 21363 23304 28484 33014 42726 49521 56968 66028 85452 99042 121057 132056 170904 198084 242114 363171 396168 484228 726342 968456 1452684 2905368 6914491 13828982 20743473 27657964 41486946 55315928 82973892 117546347 165947784 235092694 352639041 470185388 705278082 940370776 1410556164 2821112328