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1049246016 = 263721323373
BaseRepresentation
bin111110100010100…
…011100101000000
32201010100012221120
4332202203211000
54122101333031
6252040552240
735000305200
oct7642434500
92633305846
101049246016
114992aa075
12253482680
131394c0340
149d4ca400
15621aca96
hex3e8a3940

1049246016 has 336 divisors, whose sum is σ = 3638726784. Its totient is φ = 263983104.

The previous prime is 1049245979. The next prime is 1049246017. The reversal of 1049246016 is 6106429401.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10492460162 = 2201834404183744512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1049246017) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2812806 + ... + 2813178.

It is an arithmetic number, because the mean of its divisors is an integer number (10829544).

Almost surely, 21049246016 is an apocalyptic number.

1049246016 is a gapful number since it is divisible by the number (16) 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 1049246016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819363392).

1049246016 is an abundant number, since it is smaller than the sum of its proper divisors (2589480768).

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

1049246016 is a wasteful number, since it uses less digits than its factorization.

1049246016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 1049246016 is about 32392.0671770111. The cubic root of 1049246016 is about 1016.1530139270.

The spelling of 1049246016 in words is "one billion, forty-nine million, two hundred forty-six thousand, sixteen".