Search a number
-
+
89852512 = 2561191241
BaseRepresentation
bin1010101101100…
…00101001100000
320021001222110211
411112300221200
5141000240022
612525503504
72140506451
oct526605140
9207058424
1089852512
11467a0582
1226111b94
13157cca89
14bd0d128
157d4ce77
hex55b0a60

89852512 has 48 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 43776000.

The previous prime is 89852491. The next prime is 89852549. The reversal of 89852512 is 21525898.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372712 + ... + 372952.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 289852512 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 89852512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

89852512 is an abundant number, since it is smaller than the sum of its proper divisors (91635872).

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

89852512 is a wasteful number, since it uses less digits than its factorization.

89852512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 495 counting only the distinct ones).

The product of its digits is 57600, while the sum is 40.

The square root of 89852512 is about 9479.0564931326. The cubic root of 89852512 is about 447.8955432485.

The spelling of 89852512 in words is "eighty-nine million, eight hundred fifty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 61 122 191 241 244 382 482 488 764 964 976 1528 1928 1952 3056 3856 6112 7712 11651 14701 23302 29402 46031 46604 58804 92062 93208 117608 184124 186416 235216 368248 372832 470432 736496 1472992 2807891 5615782 11231564 22463128 44926256 89852512