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485088 = 25331163
BaseRepresentation
bin1110110011011100000
3220122102020
41312123200
5111010323
614221440
74060152
oct1663340
9818366
10485088
113014aa
121b4880
1313ca46
14c8ad2
1598ae3
hex766e0

485088 has 48 divisors (see below), whose sum is σ = 1322496. Its totient is φ = 155520.

The previous prime is 485081. The next prime is 485101. The reversal of 485088 is 880584.

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 (485081) by changing a digit.

485088 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2895 + ... + 3057.

It is an arithmetic number, because the mean of its divisors is an integer number (27552).

2485088 is an apocalyptic number.

485088 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 485088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661248).

485088 is an abundant number, since it is smaller than the sum of its proper divisors (837408).

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

485088 is a wasteful number, since it uses less digits than its factorization.

485088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 485088 is about 696.4825913115. The cubic root of 485088 is about 78.5730316871.

It can be divided in two parts, 48508 and 8, that added together give a triangular number (48516 = T311).

The spelling of 485088 in words is "four hundred eighty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 163 186 248 326 372 489 496 652 744 978 992 1304 1488 1956 2608 2976 3912 5053 5216 7824 10106 15159 15648 20212 30318 40424 60636 80848 121272 161696 242544 485088