Search a number
-
+
89288112 = 24397127151
BaseRepresentation
bin1010101001001…
…10110110110000
320020000022021010
411110212312300
5140324204422
612505430520
72132636124
oct524466660
9206008233
1089288112
1146445531
1225a9b440
1315662c04
14bc03584
157c8ab0c
hex5526db0

89288112 has 80 divisors (see below), whose sum is σ = 236429312. Its totient is φ = 29030400.

The previous prime is 89288099. The next prime is 89288117. The reversal of 89288112 is 21188298.

It is not an unprimeable number, because it can be changed into a prime (89288117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591237 + ... + 591387.

Almost surely, 289288112 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 89288112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118214656).

89288112 is an abundant number, since it is smaller than the sum of its proper divisors (147141200).

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

89288112 is a wasteful number, since it uses less digits than its factorization.

89288112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 380 counting only the distinct ones).

The product of its digits is 18432, while the sum is 39.

The square root of 89288112 is about 9449.2386994932. The cubic root of 89288112 is about 446.9557683863.

The spelling of 89288112 in words is "eighty-nine million, two hundred eighty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 127 151 194 254 291 302 381 388 453 508 582 604 762 776 906 1016 1164 1208 1524 1552 1812 2032 2328 2416 3048 3624 4656 6096 7248 12319 14647 19177 24638 29294 36957 38354 43941 49276 57531 58588 73914 76708 87882 98552 115062 117176 147828 153416 175764 197104 230124 234352 295656 306832 351528 460248 591312 703056 920496 1860169 3720338 5580507 7440676 11161014 14881352 22322028 29762704 44644056 89288112