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2891540388 = 2231128323993
BaseRepresentation
bin1010110001011001…
…0110011110100100
321110111221110201110
42230112112132210
521410213243023
61154531425020
7131440454622
oct25426263644
97414843643
102891540388
111254221100
12688455170
1337109b359
141d6052512
1511dcbca93
hexac5967a4

2891540388 has 72 divisors (see below), whose sum is σ = 7505707104. Its totient is φ = 865631360.

The previous prime is 2891540363. The next prime is 2891540401. The reversal of 2891540388 is 8830451982.

2891540388 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×28915403882 = 16722011630870381088, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108520 + ... + 132512.

It is an arithmetic number, because the mean of its divisors is an integer number (104245932).

Almost surely, 22891540388 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 2891540388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752853552).

2891540388 is an abundant number, since it is smaller than the sum of its proper divisors (4614166716).

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

2891540388 is a wasteful number, since it uses less digits than its factorization.

2891540388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24105 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 2891540388 is about 53773.0451806479. The cubic root of 2891540388 is about 1424.6551561990.

The spelling of 2891540388 in words is "two billion, eight hundred ninety-one million, five hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 83 121 132 166 242 249 332 363 484 498 726 913 996 1452 1826 2739 3652 5478 10043 10956 20086 23993 30129 40172 47986 60258 71979 95972 120516 143958 263923 287916 527846 791769 1055692 1583538 1991419 2903153 3167076 3982838 5806306 5974257 7965676 8709459 11612612 11948514 17418918 21905609 23897028 34837836 43811218 65716827 87622436 131433654 240961699 262867308 481923398 722885097 963846796 1445770194 2891540388