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1630048 = 25719383
BaseRepresentation
bin110001101111101100000
310001211000011
412031331200
5404130143
654534304
716566220
oct6157540
93054004
101630048
11a13752
12667394
13450c34
14306080
15222e9d
hex18df60

1630048 has 48 divisors (see below), whose sum is σ = 3870720. Its totient is φ = 660096.

The previous prime is 1630021. The next prime is 1630049. The reversal of 1630048 is 8400361.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630049) 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, 4065 + ... + 4447.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

21630048 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 1630048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935360).

1630048 is an abundant number, since it is smaller than the sum of its proper divisors (2240672).

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

1630048 is a wasteful number, since it uses less digits than its factorization.

1630048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1630048 is about 1276.7333315928. The cubic root of 1630048 is about 117.6883473903.

The spelling of 1630048 in words is "one million, six hundred thirty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 383 532 608 766 1064 1532 2128 2681 3064 4256 5362 6128 7277 10724 12256 14554 21448 29108 42896 50939 58216 85792 101878 116432 203756 232864 407512 815024 1630048