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3628273872 = 2433718111287
BaseRepresentation
bin1101100001000011…
…0001000011010000
3100100212020102001210
43120100301003100
524412314230442
61400010300120
7155624550636
oct33020610320
910325212053
103628273872
1115a207a953
12853127640
1345a8cc522
14265c2d356
151637e919c
hexd84310d0

3628273872 has 80 divisors (see below), whose sum is σ = 9680408192. Its totient is φ = 1170132480.

The previous prime is 3628273871. The next prime is 3628273919. The reversal of 3628273872 is 2783728263.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3628273871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315813 + ... + 327099.

Almost surely, 23628273872 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 3628273872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840204096).

3628273872 is an abundant number, since it is smaller than the sum of its proper divisors (6052134320).

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

3628273872 is a wasteful number, since it uses less digits than its factorization.

3628273872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516 (or 11510 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 48.

The square root of 3628273872 is about 60235.1547852249. The cubic root of 3628273872 is about 1536.6207275795.

The spelling of 3628273872 in words is "three billion, six hundred twenty-eight million, two hundred seventy-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 181 222 296 362 444 543 592 724 888 1086 1448 1776 2172 2896 4344 6697 8688 11287 13394 20091 22574 26788 33861 40182 45148 53576 67722 80364 90296 107152 135444 160728 180592 270888 321456 417619 541776 835238 1252857 1670476 2042947 2505714 3340952 4085894 5011428 6128841 6681904 8171788 10022856 12257682 16343576 20045712 24515364 32687152 49030728 75589039 98061456 151178078 226767117 302356156 453534234 604712312 907068468 1209424624 1814136936 3628273872