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1049464416 = 2537111367163
BaseRepresentation
bin111110100011011…
…000111001100000
32201010202022112110
4332203120321200
54122130330131
6252045355320
735002205010
oct7643307140
92633668473
101049464416
11499439170
12253568b40
13139568880
149d545c40
1562202646
hex3e8d8e60

1049464416 has 384 divisors, whose sum is σ = 3777048576. Its totient is φ = 246343680.

The previous prime is 1049464399. The next prime is 1049464433. The reversal of 1049464416 is 6144649401.

It is a happy number.

1049464416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1049464399) and next prime (1049464433).

It is a super-2 number, since 2×10494644162 = 2202751120900442112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6438351 + ... + 6438513.

It is an arithmetic number, because the mean of its divisors is an integer number (9836064).

Almost surely, 21049464416 is an apocalyptic number.

1049464416 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 1049464416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1888524288).

1049464416 is an abundant number, since it is smaller than the sum of its proper divisors (2727584160).

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

1049464416 is a wasteful number, since it uses less digits than its factorization.

1049464416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

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

The square root of 1049464416 is about 32395.4381973759. The cubic root of 1049464416 is about 1016.2235129389.

The spelling of 1049464416 in words is "one billion, forty-nine million, four hundred sixty-four thousand, four hundred sixteen".