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89677698 = 231121011223
BaseRepresentation
bin1010101100001…
…01111110000010
320020202002200020
411112011332002
5140424141243
612522034310
72136151005
oct526057602
9206662606
1089677698
1146691200
1226048996
131576b336
14bca553c
157d16283
hex5585f82

89677698 has 48 divisors (see below), whose sum is σ = 199257408. Its totient is φ = 26884000.

The previous prime is 89677697. The next prime is 89677711.

89677698 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×896776983 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (89677697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72715 + ... + 73937.

It is an arithmetic number, because the mean of its divisors is an integer number (4151196).

Almost surely, 289677698 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89677698, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99628704).

89677698 is an abundant number, since it is smaller than the sum of its proper divisors (109579710).

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

89677698 is a wasteful number, since it uses less digits than its factorization.

89677698 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1340 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 60.

The square root of 89677698 is about 9469.8309383009. The cubic root of 89677698 is about 447.6048845422.

The spelling of 89677698 in words is "eighty-nine million, six hundred seventy-seven thousand, six hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 66 101 121 202 242 303 363 606 726 1111 1223 2222 2446 3333 3669 6666 7338 12221 13453 24442 26906 36663 40359 73326 80718 123523 147983 247046 295966 370569 443949 741138 887898 1358753 2717506 4076259 8152518 14946283 29892566 44838849 89677698