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2838119076 = 22321326832
BaseRepresentation
bin1010100100101010…
…0100001010100100
321022210102101110100
42221022210022210
521303024302301
61145342424100
7130221420432
oct25112441244
97283371410
102838119076
111227053961
12672592030
13362cb5900
141ccd07d52
15119269286
hexa92a42a4

2838119076 has 81 divisors (see below), whose sum is σ = 7779831969. Its totient is φ = 871988832.

The previous prime is 2838119041. The next prime is 2838119113. The reversal of 2838119076 is 6709118382.

The square root of 2838119076 is 53274.

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

It can be written as a sum of positive squares in only one way, i.e., 419840100 + 2418278976 = 20490^2 + 49176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4155031 + ... + 4155713.

Almost surely, 22838119076 is an apocalyptic number.

2838119076 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2838119076 is the 53274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2838119076

2838119076 is an abundant number, since it is smaller than the sum of its proper divisors (4941712893).

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

2838119076 is a wasteful number, since it uses less digits than its factorization.

2838119076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The cubic root of 2838119076 is about 1415.8270460500.

The spelling of 2838119076 in words is "two billion, eight hundred thirty-eight million, one hundred nineteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 683 1014 1366 1521 2028 2049 2732 3042 4098 6084 6147 8196 8879 12294 17758 24588 26637 35516 53274 79911 106548 115427 159822 230854 319644 346281 461708 466489 692562 932978 1038843 1385124 1399467 1865956 2077686 2798934 4155372 4198401 5597868 6064357 8396802 12128714 16793604 18193071 24257428 36386142 54579213 72772284 78836641 109158426 157673282 218316852 236509923 315346564 473019846 709529769 946039692 1419059538 2838119076