Search a number
-
+
89478528 = 273435419
BaseRepresentation
bin1010101010101…
…01010110000000
320020100222110120
411111111112000
5140401303103
612513500240
72134361226
oct525252600
9206328416
1089478528
11465655a7
1225b71680
13156cb799
14bc52b16
157cc7253
hex5555580

89478528 has 64 divisors (see below), whose sum is σ = 243249600. Its totient is φ = 29127168.

The previous prime is 89478517. The next prime is 89478551. The reversal of 89478528 is 82587498.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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, 13803 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (3800775).

Almost surely, 289478528 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 89478528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121624800).

89478528 is an abundant number, since it is smaller than the sum of its proper divisors (153771072).

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

89478528 is a wasteful number, since it uses less digits than its factorization.

89478528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479 (or 5467 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 89478528 is about 9459.3090656770. The cubic root of 89478528 is about 447.2732690371.

The spelling of 89478528 in words is "eighty-nine million, four hundred seventy-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 258 344 384 516 688 1032 1376 2064 2752 4128 5419 5504 8256 10838 16257 16512 21676 32514 43352 65028 86704 130056 173408 233017 260112 346816 466034 520224 693632 699051 932068 1040448 1398102 1864136 2080896 2796204 3728272 5592408 7456544 11184816 14913088 22369632 29826176 44739264 89478528