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1054043312 = 24726172179
BaseRepresentation
bin111110110100110…
…110110010110000
32201110100221121012
4332310312302300
54124313341222
6252331450052
735056135400
oct7664666260
92643327535
101054043312
114a0a86383
12254bb6928
1313a4aca8a
149ddb8800
15628091e2
hex3ed36cb0

1054043312 has 60 divisors (see below), whose sum is σ = 2380573080. Its totient is φ = 450793728.

The previous prime is 1054043273. The next prime is 1054043317. The reversal of 1054043312 is 2133404501.

It is a super-2 number, since 2×10540433122 = 2222014607143858688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054043317) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 482639 + ... + 484817.

It is an arithmetic number, because the mean of its divisors is an integer number (39676218).

Almost surely, 21054043312 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 1054043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190286540).

1054043312 is an abundant number, since it is smaller than the sum of its proper divisors (1326529768).

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

1054043312 is a wasteful number, since it uses less digits than its factorization.

1054043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 1054043312 is about 32466.0332039502. The cubic root of 1054043312 is about 1017.6993230963.

Adding to 1054043312 its reverse (2133404501), we get a palindrome (3187447813).

The spelling of 1054043312 in words is "one billion, fifty-four million, forty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 617 784 1234 2179 2468 4319 4358 4936 8638 8716 9872 15253 17276 17432 30233 30506 34552 34864 60466 61012 69104 106771 120932 122024 213542 241864 244048 427084 483728 854168 1344443 1708336 2688886 5377772 9411101 10755544 18822202 21511088 37644404 65877707 75288808 131755414 150577616 263510828 527021656 1054043312