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1052152416 = 25347103563
BaseRepresentation
bin111110101101101…
…001001001100000
32201022210212210000
4332231221021200
54123322334131
6252223140000
735034101520
oct7655511140
92638725700
101052152416
1149aa04757
12254444600
13139c9a1c3
149da45680
1562583ce6
hex3eb69260

1052152416 has 240 divisors, whose sum is σ = 3577077504. Its totient is φ = 297167616.

The previous prime is 1052152363. The next prime is 1052152421. The reversal of 1052152416 is 6142512501.

1052152416 is a `hidden beast` number, since 105 + 21 + 524 + 16 = 666.

1052152416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10521524162 = 2214049412989274112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1052152416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1868551 + ... + 1869113.

Almost surely, 21052152416 is an apocalyptic number.

1052152416 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 1052152416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788538752).

1052152416 is an abundant number, since it is smaller than the sum of its proper divisors (2524925088).

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

1052152416 is a wasteful number, since it uses less digits than its factorization.

1052152416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1052152416 is about 32436.8989886518. The cubic root of 1052152416 is about 1017.0903931976.

Adding to 1052152416 its reverse (6142512501), we get a palindrome (7194664917).

The spelling of 1052152416 in words is "one billion, fifty-two million, one hundred fifty-two thousand, four hundred sixteen".