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1949266944 = 2103471331
BaseRepresentation
bin111010000101111…
…0111010000000000
312000211220000120000
41310023313100000
512443003020234
6521231320000
766206332002
oct16413672000
95024800500
101949266944
11910346119
12464980000
13250ac33c1
14146c50372
15b61e0899
hex742f7400

1949266944 has 220 divisors, whose sum is σ = 5920710048. Its totient is φ = 638668800.

The previous prime is 1949266939. The next prime is 1949266961. The reversal of 1949266944 is 4496629491.

It is a happy number.

1949266944 is a `hidden beast` number, since 1 + 9 + 492 + 66 + 94 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5888859 + ... + 5889189.

Almost surely, 21949266944 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 1949266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960355024).

1949266944 is an abundant number, since it is smaller than the sum of its proper divisors (3971443104).

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

1949266944 is an equidigital number, since it uses as much as digits as its factorization.

1949266944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1949266944 is about 44150.5033266893. The cubic root of 1949266944 is about 1249.1764055262.

It can be divided in two parts, 19492 and 66944, that added together give a square (86436 = 2942).

The spelling of 1949266944 in words is "one billion, nine hundred forty-nine million, two hundred sixty-six thousand, nine hundred forty-four".