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1252852704 = 253319167457
BaseRepresentation
bin100101010101101…
…0000001111100000
310020022110111211000
41022223100033200
510031212241304
6324152552000
743022033535
oct11253201740
93208414730
101252852704
11593225864
122ab6b2600
1316c73b17c
14bc56ad8c
1574eca939
hex4aad03e0

1252852704 has 192 divisors, whose sum is σ = 3877977600. Its totient is φ = 392408064.

The previous prime is 1252852697. The next prime is 1252852739. The reversal of 1252852704 is 4072582521.

It is a happy number.

1252852704 is a `hidden beast` number, since 12 + 528 + 52 + 70 + 4 = 666.

It is a super-2 number, since 2×12528527042 = 3139279795840223232, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2741244 + ... + 2741700.

It is an arithmetic number, because the mean of its divisors is an integer number (20197800).

Almost surely, 21252852704 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 1252852704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938988800).

1252852704 is an abundant number, since it is smaller than the sum of its proper divisors (2625124896).

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

1252852704 is a wasteful number, since it uses less digits than its factorization.

1252852704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1252852704 is about 35395.6593949032. The cubic root of 1252852704 is about 1078.0361843509.

The spelling of 1252852704 in words is "one billion, two hundred fifty-two million, eight hundred fifty-two thousand, seven hundred four".