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1052365248 = 26321137672
BaseRepresentation
bin111110101110011…
…101000111000000
32201100012200201200
4332232131013000
54123401141443
6252231501200
735035646154
oct7656350700
92640180650
101052365248
114a003a650
12254527800
1313a04303c
149da9d064
15625c6dd3
hex3eb9d1c0

1052365248 has 252 divisors, whose sum is σ = 3430764792. Its totient is φ = 305648640.

The previous prime is 1052365231. The next prime is 1052365261. The reversal of 1052365248 is 8425632501.

1052365248 is a `hidden beast` number, since 1 + 0 + 52 + 365 + 248 = 666.

It is a super-2 number, since 2×10523652482 = 2214945230396203008, 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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15706911 + ... + 15706977.

It is an arithmetic number, because the mean of its divisors is an integer number (13614146).

Almost surely, 21052365248 is an apocalyptic number.

1052365248 is a gapful number since it is divisible by the number (18) 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 1052365248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715382396).

1052365248 is an abundant number, since it is smaller than the sum of its proper divisors (2378399544).

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

1052365248 is a wasteful number, since it uses less digits than its factorization.

1052365248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1052365248 is about 32440.1795309459. The cubic root of 1052365248 is about 1017.1589684296.

Adding to 1052365248 its reverse (8425632501), we get a palindrome (9477997749).

The spelling of 1052365248 in words is "one billion, fifty-two million, three hundred sixty-five thousand, two hundred forty-eight".