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1054488512 = 267111741307
BaseRepresentation
bin111110110110100…
…011011111000000
32201111012120022002
4332312203133000
54124422113022
6252345203132
735063001350
oct7666433700
92644176262
101054488512
114a125a910
122551904a8
1313a6075cc
14a0092b60
1562896092
hex3eda37c0

1054488512 has 224 divisors, whose sum is σ = 2838882816. Its totient is φ = 376012800.

The previous prime is 1054488509. The next prime is 1054488551. The reversal of 1054488512 is 2158844501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10544885122 = 2223892043879948288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3434663 + ... + 3434969.

It is an arithmetic number, because the mean of its divisors is an integer number (12673584).

Almost surely, 21054488512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054488512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419441408).

1054488512 is an abundant number, since it is smaller than the sum of its proper divisors (1784394304).

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

1054488512 is a wasteful number, since it uses less digits than its factorization.

1054488512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 38.

The square root of 1054488512 is about 32472.8888767230. Note that the first 4 decimals coincide. The cubic root of 1054488512 is about 1017.8425860150.

The spelling of 1054488512 in words is "one billion, fifty-four million, four hundred eighty-eight thousand, five hundred twelve".