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2087828172 = 2232479471303
BaseRepresentation
bin111110001110001…
…1011101011001100
312101111121122211100
41330130123223030
513233441000142
6543101223100
7102511150413
oct17434335314
95344548740
102087828172
11981585231
124a3261a90
132737188b1
1415b3dc47a
15c3460b4c
hex7c71bacc

2087828172 has 72 divisors (see below), whose sum is σ = 5399686656. Its totient is φ = 679893984.

The previous prime is 2087828147. The next prime is 2087828179. The reversal of 2087828172 is 2718287802.

It is a super-3 number, since 3×20878281723 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2087828179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1601673 + ... + 1602975.

It is an arithmetic number, because the mean of its divisors is an integer number (74995648).

Almost surely, 22087828172 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 2087828172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699843328).

2087828172 is an abundant number, since it is smaller than the sum of its proper divisors (3311858484).

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

2087828172 is a wasteful number, since it uses less digits than its factorization.

2087828172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 2087828172 is about 45692.7584196883. The cubic root of 2087828172 is about 1278.1002441444.

The spelling of 2087828172 in words is "two billion, eighty-seven million, eight hundred twenty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 947 1303 1692 1894 2606 2841 3788 3909 5212 5682 7818 8523 11364 11727 15636 17046 23454 34092 44509 46908 61241 89018 122482 133527 178036 183723 244964 267054 367446 400581 534108 551169 734892 801162 1102338 1233941 1602324 2204676 2467882 3701823 4935764 7403646 11105469 14807292 22210938 44421876 57995227 115990454 173985681 231980908 347971362 521957043 695942724 1043914086 2087828172