Search a number
-
+
80863398 = 232711411423
BaseRepresentation
bin1001101000111…
…10000010100110
312122011021201200
410310132002212
5131200112043
612005103330
72001220230
oct464360246
9178137650
1080863398
1141710960
12230b7b46
13139a3385
14aa4d250
1571747d3
hex4d1e0a6

80863398 has 96 divisors (see below), whose sum is σ = 223921152. Its totient is φ = 20476800.

The previous prime is 80863381. The next prime is 80863427. The reversal of 80863398 is 89336808.

80863398 is a `hidden beast` number, since 8 + 0 + 8 + 633 + 9 + 8 = 666.

It is a super-2 number, since 2×808633982 = 13077778272212808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56115 + ... + 57537.

It is an arithmetic number, because the mean of its divisors is an integer number (2332512).

Almost surely, 280863398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80863398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111960576).

80863398 is an abundant number, since it is smaller than the sum of its proper divisors (143057754).

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

80863398 is a wasteful number, since it uses less digits than its factorization.

80863398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 80863398 is about 8992.4077976925. The cubic root of 80863398 is about 432.4315068566.

The spelling of 80863398 in words is "eighty million, eight hundred sixty-three thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 41 42 63 66 77 82 99 123 126 154 198 231 246 287 369 451 462 574 693 738 861 902 1353 1386 1423 1722 2583 2706 2846 3157 4059 4269 5166 6314 8118 8538 9471 9961 12807 15653 18942 19922 25614 28413 29883 31306 46959 56826 58343 59766 89649 93918 109571 116686 140877 175029 179298 219142 281754 328713 350058 408401 525087 641773 657426 816802 986139 1050174 1225203 1283546 1925319 1972278 2450406 3675609 3850638 4492411 5775957 7351218 8984822 11551914 13477233 26954466 40431699 80863398