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4661088 = 253232111
BaseRepresentation
bin10001110001111101100000
322202210210220
4101301331200
52143123323
6243523040
754422115
oct21617540
98683726
104661088
1126a3a43
121689480
13c72753
1489490c
156210e3
hex471f60

4661088 has 48 divisors (see below), whose sum is σ = 12773376. Its totient is φ = 1485440.

The previous prime is 4661057. The next prime is 4661089. The reversal of 4661088 is 8801664.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1153 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (266112).

Almost surely, 24661088 is an apocalyptic number.

4661088 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 4661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386688).

4661088 is an abundant number, since it is smaller than the sum of its proper divisors (8112288).

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

4661088 is a wasteful number, since it uses less digits than its factorization.

4661088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 4661088 is about 2158.9553029185. The cubic root of 4661088 is about 167.0433152848.

The spelling of 4661088 in words is "four million, six hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2111 2208 4222 6333 8444 12666 16888 25332 33776 48553 50664 67552 97106 101328 145659 194212 202656 291318 388424 582636 776848 1165272 1553696 2330544 4661088