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1949312 = 2797157
BaseRepresentation
bin111011011111010000000
310200000221202
413123322000
5444334222
6105440332
722366061
oct7337200
93600852
101949312
111111602
127a00a8
13533351
1438a568
15287892
hex1dbe80

1949312 has 32 divisors (see below), whose sum is σ = 3948420. Its totient is φ = 958464.

The previous prime is 1949309. The next prime is 1949327. The reversal of 1949312 is 2139491.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1915456 + 33856 = 1384^2 + 184^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 12338 + ... + 12494.

21949312 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 1949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974210).

1949312 is an abundant number, since it is smaller than the sum of its proper divisors (1999108).

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

1949312 is an equidigital number, since it uses as much as digits as its factorization.

1949312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 1949312 is about 1396.1776391276. The cubic root of 1949312 is about 124.9186030077.

The spelling of 1949312 in words is "one million, nine hundred forty-nine thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 97 128 157 194 314 388 628 776 1256 1552 2512 3104 5024 6208 10048 12416 15229 20096 30458 60916 121832 243664 487328 974656 1949312