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89845248 = 293292017
BaseRepresentation
bin1010101101011…
…10111000000000
320021001121111210
411112232320000
5141000021443
612525410120
72140446333
oct526567000
9207047453
1089845248
1146796079
1226109940
13157c968c
14bd0a61a
157d4ac33
hex55aee00

89845248 has 80 divisors (see below), whose sum is σ = 247729680. Its totient is φ = 28901376.

The previous prime is 89845237. The next prime is 89845267. The reversal of 89845248 is 84254898.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 89845197 and 89845206.

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, 43536 + ... + 45552.

It is an arithmetic number, because the mean of its divisors is an integer number (3096621).

Almost surely, 289845248 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 89845248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123864840).

89845248 is an abundant number, since it is smaller than the sum of its proper divisors (157884432).

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

89845248 is a wasteful number, since it uses less digits than its factorization.

89845248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 89845248 is about 9478.6733248910. The cubic root of 89845248 is about 447.8834730948.

The spelling of 89845248 in words is "eighty-nine million, eight hundred forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1392 1536 1856 2017 2784 3712 4034 5568 6051 7424 8068 11136 12102 14848 16136 22272 24204 32272 44544 48408 58493 64544 96816 116986 129088 175479 193632 233972 258176 350958 387264 467944 516352 701916 774528 935888 1032704 1403832 1549056 1871776 2807664 3098112 3743552 5615328 7487104 11230656 14974208 22461312 29948416 44922624 89845248