Search a number
-
+
89448640 = 2653171127
BaseRepresentation
bin1010101010011…
…10000011000000
320020022110110121
411111032003000
5140344324030
612513110024
72134205131
oct525160300
9206273417
1089448640
11465450a6
1225b58314
13156bacb8
14bc45c88
157cbd47a
hex554e0c0

89448640 has 112 divisors (see below), whose sum is σ = 224722944. Its totient is φ = 33868800.

The previous prime is 89448629. The next prime is 89448677. The reversal of 89448640 is 4684498.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 704257 + ... + 704383.

Almost surely, 289448640 is an apocalyptic number.

89448640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89448640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112361472).

89448640 is an abundant number, since it is smaller than the sum of its proper divisors (135274304).

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

89448640 is a wasteful number, since it uses less digits than its factorization.

89448640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 89448640 is about 9457.7291143276. The cubic root of 89448640 is about 447.2234634489.

The spelling of 89448640 in words is "eighty-nine million, four hundred forty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 71 80 124 127 142 155 160 248 254 284 310 320 355 496 508 568 620 635 710 992 1016 1136 1240 1270 1420 1984 2032 2201 2272 2480 2540 2840 3937 4064 4402 4544 4960 5080 5680 7874 8128 8804 9017 9920 10160 11005 11360 15748 17608 18034 19685 20320 22010 22720 31496 35216 36068 39370 40640 44020 45085 62992 70432 72136 78740 88040 90170 125984 140864 144272 157480 176080 180340 251968 279527 288544 314960 352160 360680 559054 577088 629920 704320 721360 1118108 1259840 1397635 1442720 2236216 2795270 2885440 4472432 5590540 8944864 11181080 17889728 22362160 44724320 89448640