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2829821328 = 243272727031
BaseRepresentation
bin1010100010101011…
…1010010110010000
321022012210211002100
42220222322112100
521243413240303
61144444520400
7130061040645
oct25052722620
97265724070
102829821328
1112223a6714
1266b850100
1336136bab9
141cbb87dcc
1511867a8a3
hexa8aba590

2829821328 has 60 divisors (see below), whose sum is σ = 7930756288. Its totient is φ = 941941440.

The previous prime is 2829821327. The next prime is 2829821387. The reversal of 2829821328 is 8231289282.

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

It is not an unprimeable number, because it can be changed into a prime (2829821327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91173 + ... + 118203.

Almost surely, 22829821328 is an apocalyptic number.

It is an amenable number.

2829821328 is an abundant number, since it is smaller than the sum of its proper divisors (5100934960).

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

2829821328 is a wasteful number, since it uses less digits than its factorization.

2829821328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27772 (or 27763 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2829821328 is about 53196.0649672511. The cubic root of 2829821328 is about 1414.4458914126.

The spelling of 2829821328 in words is "two billion, eight hundred twenty-nine million, eight hundred twenty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 727 1454 2181 2908 4362 5816 6543 8724 11632 13086 17448 26172 27031 34896 52344 54062 81093 104688 108124 162186 216248 243279 324372 432496 486558 648744 973116 1297488 1946232 3892464 19651537 39303074 58954611 78606148 117909222 157212296 176863833 235818444 314424592 353727666 471636888 707455332 943273776 1414910664 2829821328