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800398872 = 233271329397
BaseRepresentation
bin101111101101010…
…001111000011000
32001210002110211200
4233231101320120
53114400230442
6211231154200
725556164260
oct5755217030
92053073750
10800398872
11380893579
121a4075960
13c9a92600
14784307a0
154a40534c
hex2fb51e18

800398872 has 144 divisors (see below), whose sum is σ = 2682941040. Its totient is φ = 211071744.

The previous prime is 800398871. The next prime is 800398909. The reversal of 800398872 is 278893008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800398871) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80478 + ... + 89874.

It is an arithmetic number, because the mean of its divisors is an integer number (18631535).

Almost surely, 2800398872 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 800398872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341470520).

800398872 is an abundant number, since it is smaller than the sum of its proper divisors (1882542168).

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

800398872 is a wasteful number, since it uses less digits than its factorization.

800398872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9442 (or 9422 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 800398872 is about 28291.3214961762. The cubic root of 800398872 is about 928.4720244067.

The spelling of 800398872 in words is "eight hundred million, three hundred ninety-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 169 182 234 252 273 312 338 364 468 504 507 546 676 728 819 936 1014 1092 1183 1352 1521 1638 2028 2184 2366 3042 3276 3549 4056 4732 6084 6552 7098 9397 9464 10647 12168 14196 18794 21294 28191 28392 37588 42588 56382 65779 75176 84573 85176 112764 122161 131558 169146 197337 225528 244322 263116 338292 366483 394674 488644 526232 592011 676584 732966 789348 855127 977288 1099449 1184022 1465932 1578696 1588093 1710254 2198898 2368044 2565381 2931864 3176186 3420508 4397796 4736088 4764279 5130762 6352372 6841016 7696143 8795592 9528558 10261524 11116651 12704744 14292837 15392286 19057116 20523048 22233302 28585674 30784572 33349953 38114232 44466604 57171348 61569144 66699906 88933208 100049859 114342696 133399812 200099718 266799624 400199436 800398872