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2764000036 = 2272611511531
BaseRepresentation
bin1010010010111111…
…0100101100100100
321010121221202020201
42210233310230210
521130041000121
61134134040244
7125331420100
oct24457645444
97117852221
102764000036
11119922a156
126517a9084
133508342a5
141c3132900
151129c7e91
hexa4bf4b24

2764000036 has 72 divisors (see below), whose sum is σ = 5760589632. Its totient is φ = 1156680000.

The previous prime is 2764000027. The next prime is 2764000061. The reversal of 2764000036 is 6300004672.

2764000036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2763999968 and 2764000013.

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, 1804591 + ... + 1806121.

Almost surely, 22764000036 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 2764000036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2880294816).

2764000036 is an abundant number, since it is smaller than the sum of its proper divisors (2996589596).

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

2764000036 is a wasteful number, since it uses less digits than its factorization.

2764000036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 2764000036 is about 52573.7580547558. The cubic root of 2764000036 is about 1403.3931361847.

The spelling of 2764000036 in words is "two billion, seven hundred sixty-four million, thirty-six", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 61 98 122 151 196 244 302 427 604 854 1057 1531 1708 2114 2989 3062 4228 5978 6124 7399 9211 10717 11956 14798 18422 21434 29596 36844 42868 64477 75019 93391 128954 150038 186782 231181 257908 300076 373564 451339 462362 653737 902678 924724 1307474 1618267 1805356 2614948 3236534 4576159 6473068 9152318 11327869 14102041 18304636 22655738 28204082 45311476 56408164 98714287 197428574 394857148 691000009 1382000018 2764000036