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146848 = 2513353
BaseRepresentation
bin100011110110100000
321110102211
4203312200
514144343
63051504
71151062
oct436640
9243384
10146848
11a0369
1270b94
1351ac0
143b732
152d79d
hex23da0

146848 has 24 divisors (see below), whose sum is σ = 312228. Its totient is φ = 67584.

The previous prime is 146843. The next prime is 146849. The reversal of 146848 is 848641.

It can be written as a sum of positive squares in 2 ways, for example, as 138384 + 8464 = 372^2 + 92^2 .

It is not an unprimeable number, because it can be changed into a prime (146843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240 + ... + 592.

2146848 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 146848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156114).

146848 is an abundant number, since it is smaller than the sum of its proper divisors (165380).

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

146848 is a wasteful number, since it uses less digits than its factorization.

146848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 146848 is about 383.2075155839. The cubic root of 146848 is about 52.7581241278.

The spelling of 146848 in words is "one hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 353 416 706 1412 2824 4589 5648 9178 11296 18356 36712 73424 146848