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1052863416 = 23321119313761
BaseRepresentation
bin111110110000010…
…110101110111000
32201101011000002100
4332300112232320
54124013112131
6252250303400
735043122433
oct7660265670
92641130070
101052863416
114a034a960
12254727b60
1313a188a07
149db8c81a
15626747e6
hex3ec16bb8

1052863416 has 384 divisors, whose sum is σ = 3528345600. Its totient is φ = 279936000.

The previous prime is 1052863381. The next prime is 1052863417. The reversal of 1052863416 is 6143682501.

It is a happy number.

1052863416 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 8 + 634 + 16 = 666.

It is a super-2 number, since 2×10528634162 = 2217042745502378112, 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 (1052863417) 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 95 ways as a sum of consecutive naturals, for example, 17260026 + ... + 17260086.

It is an arithmetic number, because the mean of its divisors is an integer number (9188400).

Almost surely, 21052863416 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 1052863416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764172800).

1052863416 is an abundant number, since it is smaller than the sum of its proper divisors (2475482184).

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

1052863416 is a wasteful number, since it uses less digits than its factorization.

1052863416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1052863416 is about 32447.8568783826. The cubic root of 1052863416 is about 1017.3194438015.

It can be divided in two parts, 1052 and 863416, that added together give a palindrome (864468).

The spelling of 1052863416 in words is "one billion, fifty-two million, eight hundred sixty-three thousand, four hundred sixteen".