Search a number
-
+
871988728 = 231379211503
BaseRepresentation
bin110011111110010…
…111110111111000
32020202210121122211
4303332113313320
53241212114403
6222305424504
730415532122
oct6376276770
92222717584
10871988728
11408240046
1220403b134
1310b869980
1483b48212
155184706d
hex33f97df8

871988728 has 64 divisors (see below), whose sum is σ = 1795046400. Its totient is φ = 394692480.

The previous prime is 871988713. The next prime is 871988729. The reversal of 871988728 is 827889178.

It is a happy number.

It is a super-4 number, since 4×8719887284 (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871988729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1733325 + ... + 1733827.

It is an arithmetic number, because the mean of its divisors is an integer number (28047600).

Almost surely, 2871988728 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 871988728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897523200).

871988728 is an abundant number, since it is smaller than the sum of its proper divisors (923057672).

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

871988728 is a wasteful number, since it uses less digits than its factorization.

871988728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 58.

The square root of 871988728 is about 29529.4552608070. The cubic root of 871988728 is about 955.3671196202.

The spelling of 871988728 in words is "eight hundred seventy-one million, nine hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 26 52 79 104 158 211 316 422 503 632 844 1006 1027 1688 2012 2054 2743 4024 4108 5486 6539 8216 10972 13078 16669 21944 26156 33338 39737 52312 66676 79474 106133 133352 158948 212266 216697 317896 424532 433394 516581 849064 866788 1033162 1379729 1733576 2066324 2759458 4132648 5518916 8384507 11037832 16769014 33538028 67076056 108998591 217997182 435994364 871988728