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1052450496 = 2635313759
BaseRepresentation
bin111110101110110…
…001111011000000
32201100101000200000
4332232301323000
54123411403441
6252233400000
735036452536
oct7656617300
92640330600
101052450496
114a00986a9
12254569000
1313a072a96
149dac2156
15625e22b6
hex3ebb1ec0

1052450496 has 336 divisors, whose sum is σ = 3372794880. Its totient is φ = 324725760.

The previous prime is 1052450479. The next prime is 1052450557. The reversal of 1052450496 is 6940542501.

1052450496 is a `hidden beast` number, since 10 + 52 + 4 + 504 + 96 = 666.

It is a super-2 number, since 2×10524504962 = 2215304093061292032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1052450496.

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 47 ways as a sum of consecutive naturals, for example, 17838115 + ... + 17838173.

It is an arithmetic number, because the mean of its divisors is an integer number (10038080).

Almost surely, 21052450496 is an apocalyptic number.

1052450496 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 1052450496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1686397440).

1052450496 is an abundant number, since it is smaller than the sum of its proper divisors (2320344384).

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

1052450496 is an equidigital number, since it uses as much as digits as its factorization.

1052450496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1052450496 is about 32441.4934304819. The cubic root of 1052450496 is about 1017.1864330469.

Adding to 1052450496 its reverse (6940542501), we get a palindrome (7992992997).

The spelling of 1052450496 in words is "one billion, fifty-two million, four hundred fifty thousand, four hundred ninety-six".