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89728188 = 223111315189
BaseRepresentation
bin1010101100100…
…10010010111100
320020211122221020
411112102102330
5140432300223
612523104140
72136451134
oct526222274
9206748836
1089728188
1146716130
1226072050
1315788304
14bcb9ac4
157d261e3
hex55924bc

89728188 has 48 divisors (see below), whose sum is σ = 230186880. Its totient is φ = 26977600.

The previous prime is 89728187. The next prime is 89728211. The reversal of 89728188 is 88182798.

It is a happy number.

It is a super-2 number, since 2×897281882 = 16102295443526688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 89728188.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89728187) 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 15 ways as a sum of consecutive naturals, for example, 14698 + ... + 19886.

It is an arithmetic number, because the mean of its divisors is an integer number (4795560).

Almost surely, 289728188 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 89728188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115093440).

89728188 is an abundant number, since it is smaller than the sum of its proper divisors (140458692).

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

89728188 is a wasteful number, since it uses less digits than its factorization.

89728188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5338 (or 5336 counting only the distinct ones).

The product of its digits is 516096, while the sum is 51.

The square root of 89728188 is about 9472.4963974657. The cubic root of 89728188 is about 447.6888717213.

The spelling of 89728188 in words is "eighty-nine million, seven hundred twenty-eight thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2882 4323 5189 5764 8646 10378 15567 17292 20756 31134 57079 62268 114158 171237 228316 342474 679759 684948 1359518 2039277 2719036 4078554 7477349 8157108 14954698 22432047 29909396 44864094 89728188