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1449164640 = 253571139209
BaseRepresentation
bin101011001100000…
…0111111101100000
310201222212012011110
41112120013331200
510431441232030
6355444343320
750624460540
oct12630077540
93658765143
101449164640
11684019930
123453a4b40
131a1303891
14da66d320
15873571b0
hex56607f60

1449164640 has 192 divisors, whose sum is σ = 5691409920. Its totient is φ = 301117440.

The previous prime is 1449164627. The next prime is 1449164687. The reversal of 1449164640 is 464619441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17356 + ... + 56564.

It is an arithmetic number, because the mean of its divisors is an integer number (29642760).

Almost surely, 21449164640 is an apocalyptic number.

1449164640 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 1449164640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845704960).

1449164640 is an abundant number, since it is smaller than the sum of its proper divisors (4242245280).

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

1449164640 is a wasteful number, since it uses less digits than its factorization.

1449164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39245 (or 39237 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1449164640 is about 38067.8951348771. The cubic root of 1449164640 is about 1131.6337971481.

The spelling of 1449164640 in words is "one billion, four hundred forty-nine million, one hundred sixty-four thousand, six hundred forty".