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89296192 = 266189257
BaseRepresentation
bin1010101001010…
…00110101000000
320020000201100101
411110220311000
5140324434232
612505532144
72133001516
oct524506500
9206021311
1089296192
1146450607
1225aa4054
13156667ab
14bc064b6
157c8d1e7
hex5528d40

89296192 has 56 divisors (see below), whose sum is σ = 182834280. Its totient is φ = 43253760.

The previous prime is 89296183. The next prime is 89296217. The reversal of 89296192 is 29169298.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 83612736 = 2384^2 + 9144^2 .

It is a plaindrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347328 + ... + 347584.

Almost surely, 289296192 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 89296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91417140).

89296192 is an abundant number, since it is smaller than the sum of its proper divisors (93538088).

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

89296192 is a wasteful number, since it uses less digits than its factorization.

89296192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 409 counting only the distinct ones).

The product of its digits is 139968, while the sum is 46.

The square root of 89296192 is about 9449.6662374922. Note that the first 3 decimals coincide. The cubic root of 89296192 is about 446.9692501873.

The spelling of 89296192 in words is "eighty-nine million, two hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 32 61 64 89 122 178 244 257 356 488 514 712 976 1028 1424 1952 2056 2848 3904 4112 5429 5696 8224 10858 15677 16448 21716 22873 31354 43432 45746 62708 86864 91492 125416 173728 182984 250832 347456 365968 501664 731936 1003328 1395253 1463872 2790506 5581012 11162024 22324048 44648096 89296192