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1948944 = 243192137
BaseRepresentation
bin111011011110100010000
310200000110010
413123310100
5444331234
6105434520
722365024
oct7336420
93600403
101948944
1111112a8
1279ba40
1353312a
1438a384
152876e9
hex1dbd10

1948944 has 40 divisors (see below), whose sum is σ = 5302240. Its totient is φ = 615168.

The previous prime is 1948937. The next prime is 1948981. The reversal of 1948944 is 4498491.

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 7 ways as a sum of consecutive naturals, for example, 157 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (132556).

21948944 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 1948944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651120).

1948944 is an abundant number, since it is smaller than the sum of its proper divisors (3353296).

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

1948944 is a wasteful number, since it uses less digits than its factorization.

1948944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2161 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 1948944 is about 1396.0458445194. The cubic root of 1948944 is about 124.9107416120.

The spelling of 1948944 in words is "one million, nine hundred forty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2137 4274 6411 8548 12822 17096 25644 34192 40603 51288 81206 102576 121809 162412 243618 324824 487236 649648 974472 1948944