Search a number
-
+
80880408 = 23327383419
BaseRepresentation
bin1001101001000…
…10001100011000
312122012011001200
410310202030120
5131201133113
612005314200
72001320640
oct464421430
9178164050
1080880408
1141722714
1223105960
13139ab03b
14aa55520
157179873
hex4d22318

80880408 has 96 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 22993344.

The previous prime is 80880367. The next prime is 80880421. The reversal of 80880408 is 80408808.

80880408 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192823 + ... + 193241.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 280880408 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 80880408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

80880408 is an abundant number, since it is smaller than the sum of its proper divisors (170716392).

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

80880408 is a wasteful number, since it uses less digits than its factorization.

80880408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 80880408 is about 8993.3535458137. The cubic root of 80880408 is about 432.4618260715.

The spelling of 80880408 in words is "eighty million, eight hundred eighty thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 383 419 504 766 838 1149 1257 1532 1676 2298 2514 2681 2933 3064 3352 3447 3771 4596 5028 5362 5866 6894 7542 8043 8799 9192 10056 10724 11732 13788 15084 16086 17598 21448 23464 24129 26397 27576 30168 32172 35196 48258 52794 64344 70392 96516 105588 160477 193032 211176 320954 481431 641908 962862 1123339 1283816 1444293 1925724 2246678 2888586 3370017 3851448 4493356 5777172 6740034 8986712 10110051 11554344 13480068 20220102 26960136 40440204 80880408