Search a number
-
+
2832010972 = 2278921132
BaseRepresentation
bin1010100011001101…
…0000111011011100
321022100221001201021
42220303100323130
521244443322342
61145003453524
7130115460520
oct25063207334
97270831637
102832010972
11122366183a
126705272a4
1336195764b
141cc197d80
1511895e567
hexa8cd0edc

2832010972 has 54 divisors (see below), whose sum is σ = 5779519928. Its totient is φ = 1189461504.

The previous prime is 2832010927. The next prime is 2832011027. The reversal of 2832010972 is 2790102382.

2832010972 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-3 number, since 3×28320109723 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25061988 + ... + 25062100.

Almost surely, 22832010972 is an apocalyptic number.

It is an amenable number.

2832010972 is an abundant number, since it is smaller than the sum of its proper divisors (2947508956).

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

2832010972 is an equidigital number, since it uses as much as digits as its factorization.

2832010972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 2832010972 is about 53216.6418707532. The cubic root of 2832010972 is about 1414.8106181469.

The spelling of 2832010972 in words is "two billion, eight hundred thirty-two million, ten thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 89 113 178 226 356 452 623 791 1246 1582 2492 3164 7921 10057 12769 15842 20114 25538 31684 40228 51076 55447 70399 89383 110894 140798 178766 221788 281596 357532 895073 1136441 1790146 2272882 3580292 4545764 6265511 7955087 12531022 15910174 25062044 31820348 101143249 202286498 404572996 708002743 1416005486 2832010972