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1449499968 = 263372171953
BaseRepresentation
bin101011001100101…
…1001110101000000
310202000111020011000
41112121121311000
510432032444333
6355455452000
750630355300
oct12631316500
93660436130
101449499968
11684228864
12345527000
131a13c03b7
14da719600
15873c1713
hex56659d40

1449499968 has 672 divisors, whose sum is σ = 5629046400. Its totient is φ = 362299392.

The previous prime is 1449499967. The next prime is 1449499991. The reversal of 1449499968 is 8699949441.

1449499968 is a `hidden beast` number, since 1 + 449 + 49 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449499967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27349030 + ... + 27349082.

Almost surely, 21449499968 is an apocalyptic number.

1449499968 is a gapful number since it is divisible by the number (18) 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 1449499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814523200).

1449499968 is an abundant number, since it is smaller than the sum of its proper divisors (4179546432).

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

1449499968 is a wasteful number, since it uses less digits than its factorization.

1449499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 1449499968 is about 38072.2992213499. The cubic root of 1449499968 is about 1131.7210748395.

1449499968 divided by its sum of digits (63) gives a triangular number (23007936 = T6783).

The spelling of 1449499968 in words is "one billion, four hundred forty-nine million, four hundred ninety-nine thousand, nine hundred sixty-eight".