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1990549440 = 2632511193307
BaseRepresentation
bin111011010100101…
…0101111111000000
312010201120101111100
41312221111333000
513034040040230
6525304214400
7100220251065
oct16651257700
95121511440
101990549440
11931682290
1247676a400
13259518909
1414c518c6c
15b9b47660
hex76a55fc0

1990549440 has 336 divisors, whose sum is σ = 7864571520. Its totient is φ = 457021440.

The previous prime is 1990549433. The next prime is 1990549441. The reversal of 1990549440 is 449450991.

1990549440 is a `hidden beast` number, since 19 + 90 + 549 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990549441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600267 + ... + 603573.

Almost surely, 21990549440 is an apocalyptic number.

1990549440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990549440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3932285760).

1990549440 is an abundant number, since it is smaller than the sum of its proper divisors (5874022080).

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

1990549440 is a wasteful number, since it uses less digits than its factorization.

1990549440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1990549440 is about 44615.5739624629. The cubic root of 1990549440 is about 1257.9334226550.

The spelling of 1990549440 in words is "one billion, nine hundred ninety million, five hundred forty-nine thousand, four hundred forty".