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1057483512 = 23352367353
BaseRepresentation
bin111111000001111…
…110101011111000
32201200211201200000
4333001332223320
54131203433022
6252533313000
735130314211
oct7701765370
92650751600
101057483512
114a2a16018
12256195760
1313b1158b7
14a0632408
1562c886ac
hex3f07eaf8

1057483512 has 192 divisors, whose sum is σ = 3154394880. Its totient is φ = 331195392.

The previous prime is 1057483457. The next prime is 1057483519. The reversal of 1057483512 is 2153847501.

1057483512 is a `hidden beast` number, since 1 + 0 + 574 + 83 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×10574835122 = 2236542756303708288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057483519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2995528 + ... + 2995880.

It is an arithmetic number, because the mean of its divisors is an integer number (16429140).

Almost surely, 21057483512 is an apocalyptic number.

1057483512 is a gapful number since it is divisible by the number (12) 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 1057483512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577197440).

1057483512 is an abundant number, since it is smaller than the sum of its proper divisors (2096911368).

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

1057483512 is a wasteful number, since it uses less digits than its factorization.

1057483512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1057483512 is about 32518.9715704541. The cubic root of 1057483512 is about 1018.8053140604.

The spelling of 1057483512 in words is "one billion, fifty-seven million, four hundred eighty-three thousand, five hundred twelve".