Search a number
-
+
89298528 = 25311103821
BaseRepresentation
bin1010101001010…
…01011001100000
320020000211112220
411110221121200
5140330023103
612505551040
72133011364
oct524513140
9206024486
1089298528
1146452340
1225aa5480
1315667887
14bc072a4
157c8dc53
hex5529660

89298528 has 96 divisors (see below), whose sum is σ = 258515712. Its totient is φ = 26764800.

The previous prime is 89298527. The next prime is 89298541. The reversal of 89298528 is 82589298.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89298523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 108358 + ... + 109178.

It is an arithmetic number, because the mean of its divisors is an integer number (2692872).

Almost surely, 289298528 is an apocalyptic number.

89298528 is a gapful number since it is divisible by the number (88) 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 89298528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129257856).

89298528 is an abundant number, since it is smaller than the sum of its proper divisors (169217184).

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

89298528 is a wasteful number, since it uses less digits than its factorization.

89298528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 940 counting only the distinct ones).

The product of its digits is 829440, while the sum is 51.

The square root of 89298528 is about 9449.7898389329. The cubic root of 89298528 is about 446.9731477446.

The spelling of 89298528 in words is "eighty-nine million, two hundred ninety-eight thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 103 132 176 206 264 309 352 412 528 618 821 824 1056 1133 1236 1642 1648 2266 2463 2472 3284 3296 3399 4532 4926 4944 6568 6798 9031 9064 9852 9888 13136 13596 18062 18128 19704 26272 27093 27192 36124 36256 39408 54186 54384 72248 78816 84563 108372 108768 144496 169126 216744 253689 288992 338252 433488 507378 676504 866976 930193 1014756 1353008 1860386 2029512 2706016 2790579 3720772 4059024 5581158 7441544 8118048 11162316 14883088 22324632 29766176 44649264 89298528