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4590048 = 253137349
BaseRepresentation
bin10001100000100111100000
322122012100210
4101200213200
52133340143
6242214120
754005031
oct21404740
98565323
104590048
112655631
121654340
13c49308
14876a88
1560a033
hex4609e0

4590048 has 48 divisors (see below), whose sum is σ = 12171600. Its totient is φ = 1514496.

The previous prime is 4590043. The next prime is 4590071. The reversal of 4590048 is 8400954.

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

It is a junction number, because it is equal to n+sod(n) for n = 4589997 and 4590024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4590043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978 + ... + 13326.

It is an arithmetic number, because the mean of its divisors is an integer number (253575).

Almost surely, 24590048 is an apocalyptic number.

4590048 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 4590048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6085800).

4590048 is an abundant number, since it is smaller than the sum of its proper divisors (7581552).

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

4590048 is a wasteful number, since it uses less digits than its factorization.

4590048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 4590048 is about 2142.4397307742. The cubic root of 4590048 is about 166.1903270113.

The spelling of 4590048 in words is "four million, five hundred ninety thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 349 411 548 698 822 1047 1096 1396 1644 2094 2192 2792 3288 4188 4384 5584 6576 8376 11168 13152 16752 33504 47813 95626 143439 191252 286878 382504 573756 765008 1147512 1530016 2295024 4590048