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2491496448 = 21137193049
BaseRepresentation
bin1001010010000001…
…0011100000000000
320102122012010121020
42110200103200000
520100310341243
61051121225440
7115512241020
oct22440234000
96378163536
102491496448
111069426181
12596492280
13309242a6c
14198c79a80
15e8aeb283
hex94813800

2491496448 has 192 divisors, whose sum is σ = 7993440000. Its totient is φ = 674168832.

The previous prime is 2491496437. The next prime is 2491496453. The reversal of 2491496448 is 8446941942.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 2491496448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 815628 + ... + 818676.

It is an arithmetic number, because the mean of its divisors is an integer number (41632500).

Almost surely, 22491496448 is an apocalyptic number.

2491496448 is a gapful number since it is divisible by the number (28) 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 2491496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996720000).

2491496448 is an abundant number, since it is smaller than the sum of its proper divisors (5501943552).

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

2491496448 is a wasteful number, since it uses less digits than its factorization.

2491496448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3080 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 2491496448 is about 49914.8920463623. The cubic root of 2491496448 is about 1355.6682475196.

The spelling of 2491496448 in words is "two billion, four hundred ninety-one million, four hundred ninety-six thousand, four hundred forty-eight".