Search a number
-
+
89063424 = 21632151
BaseRepresentation
bin1010100111100…
…00000000000000
320012120220001100
411103300000000
5140300012144
612500534400
72131012062
oct523600000
9205526040
1089063424
114630173a
12259b1400
13155b4868
14bb85732
157c44269
hex54f0000

89063424 has 102 divisors (see below), whose sum is σ = 258996296. Its totient is φ = 29491200.

The previous prime is 89063417. The next prime is 89063441. The reversal of 89063424 is 42436098.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589749 + ... + 589899.

Almost surely, 289063424 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 89063424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129498148).

89063424 is an abundant number, since it is smaller than the sum of its proper divisors (169932872).

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

89063424 is an equidigital number, since it uses as much as digits as its factorization.

89063424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 89063424 is about 9437.3419986774. The cubic root of 89063424 is about 446.5805413015.

The spelling of 89063424 in words is "eighty-nine million, sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 151 192 256 288 302 384 453 512 576 604 768 906 1024 1152 1208 1359 1536 1812 2048 2304 2416 2718 3072 3624 4096 4608 4832 5436 6144 7248 8192 9216 9664 10872 12288 14496 16384 18432 19328 21744 24576 28992 32768 36864 38656 43488 49152 57984 65536 73728 77312 86976 98304 115968 147456 154624 173952 196608 231936 294912 309248 347904 463872 589824 618496 695808 927744 1236992 1391616 1855488 2473984 2783232 3710976 4947968 5566464 7421952 9895936 11132928 14843904 22265856 29687808 44531712 89063424