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4889088 = 29321061
BaseRepresentation
bin10010101001101000000000
3100012101120100
4102221220000
52222422323
6252442400
756361621
oct22515000
910171510
104889088
11283a276
121779400
131022469
14913a48
15668943
hex4a9a00

4889088 has 60 divisors (see below), whose sum is σ = 14123538. Its totient is φ = 1628160.

The previous prime is 4889083. The next prime is 4889113. The reversal of 4889088 is 8809884.

4889088 is a `hidden beast` number, since 488 + 90 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3873024 + 1016064 = 1968^2 + 1008^2 .

It is not an unprimeable number, because it can be changed into a prime (4889083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4078 + ... + 5138.

Almost surely, 24889088 is an apocalyptic number.

4889088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4889088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061769).

4889088 is an abundant number, since it is smaller than the sum of its proper divisors (9234450).

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

4889088 is a wasteful number, since it uses less digits than its factorization.

4889088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1066 counting only the distinct ones).

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

The square root of 4889088 is about 2211.1282188060. The cubic root of 4889088 is about 169.7237497212.

Subtracting from 4889088 its product of nonzero digits (147456), we obtain a cube (4741632 = 1683).

The spelling of 4889088 in words is "four million, eight hundred eighty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1061 1152 1536 2122 2304 3183 4244 4608 6366 8488 9549 12732 16976 19098 25464 33952 38196 50928 67904 76392 101856 135808 152784 203712 271616 305568 407424 543232 611136 814848 1222272 1629696 2444544 4889088