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2833007076 = 223429572
BaseRepresentation
bin1010100011011100…
…0100000111100100
321022102210200010000
42220313010013210
521300222211301
61145041101300
7130130106564
oct25067040744
97272720100
102833007076
111224182169
12670927830
13361c15b63
141cc376da4
15118aa9786
hexa8dc41e4

2833007076 has 45 divisors (see below), whose sum is σ = 7408545529. Its totient is φ = 944016336.

The previous prime is 2833007059. The next prime is 2833007087. The reversal of 2833007076 is 6707003382.

The square root of 2833007076 is 53226.

It is a perfect power (a square), and thus also a powerful number.

2833007076 is a `hidden beast` number, since 283 + 300 + 7 + 0 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526702500 + 2306304576 = 22950^2 + 48024^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2833007076.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 956590 + ... + 959546.

Almost surely, 22833007076 is an apocalyptic number.

2833007076 is the 53226-th square number.

It is an amenable number.

2833007076 is an abundant number, since it is smaller than the sum of its proper divisors (4575538453).

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

2833007076 is an frugal number, since it uses more digits than its factorization.

2833007076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The cubic root of 2833007076 is about 1414.9764759457.

Multiplying 2833007076 by its sum of digits (36), we get a square (101988254736 = 3193562).

2833007076 divided by its sum of digits (36) gives a square (78694641 = 88712).

The spelling of 2833007076 in words is "two billion, eight hundred thirty-three million, seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2957 5914 8871 11828 17742 26613 35484 53226 79839 106452 159678 239517 319356 479034 958068 8743849 17487698 26231547 34975396 52463094 78694641 104926188 157389282 236083923 314778564 472167846 708251769 944335692 1416503538 2833007076