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89088408 = 233241103293
BaseRepresentation
bin1010100111101…
…10000110011000
320012122011022200
411103312012120
5140301312113
612501250200
72131144653
oct523660630
9205564280
1089088408
1146319492
1225a03960
13155c3046
14bb9089a
157c4b873
hex54f6198

89088408 has 96 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 28592640.

The previous prime is 89088401. The next prime is 89088427. The reversal of 89088408 is 80488098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89088401) 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, 303910 + ... + 304202.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 289088408 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 89088408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

89088408 is an abundant number, since it is smaller than the sum of its proper divisors (161329032).

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

89088408 is a wasteful number, since it uses less digits than its factorization.

89088408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 89088408 is about 9438.6655836511. The cubic root of 89088408 is about 446.6222955355.

It can be divided in two parts, 890 and 88408, that added together give a palindrome (89298).

The spelling of 89088408 in words is "eighty-nine million, eighty-eight thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 103 123 164 206 246 293 309 328 369 412 492 586 618 738 824 879 927 984 1172 1236 1476 1758 1854 2344 2472 2637 2952 3516 3708 4223 5274 7032 7416 8446 10548 12013 12669 16892 21096 24026 25338 30179 33784 36039 38007 48052 50676 60358 72078 76014 90537 96104 101352 108117 120716 144156 152028 181074 216234 241432 271611 288312 304056 362148 432468 543222 724296 864936 1086444 1237339 2172888 2474678 3712017 4949356 7424034 9898712 11136051 14848068 22272102 29696136 44544204 89088408