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5052456000 = 26355323113
BaseRepresentation
bin1001011010010011…
…00101110001000000
3111001010002100200000
410231021211301000
540321412043000
62153203400000
7236130111264
oct45511456100
914033070600
105052456000
112162a85a79
12b90083000
13626996b47
1435d0380a4
151e8869000
hex12d265c40

5052456000 has 672 divisors, whose sum is σ = 19730850048. Its totient is φ = 1277337600.

The previous prime is 5052455971. The next prime is 5052456029. The reversal of 5052456000 is 6542505.

5052456000 is a `hidden beast` number, since 5 + 0 + 52 + 4 + 5 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5052455971) and next prime (5052456029).

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

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 95 ways as a sum of consecutive naturals, for example, 44711944 + ... + 44712056.

It is an arithmetic number, because the mean of its divisors is an integer number (29361384).

Almost surely, 25052456000 is an apocalyptic number.

5052456000 is a gapful number since it is divisible by the number (50) 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 5052456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9865425024).

5052456000 is an abundant number, since it is smaller than the sum of its proper divisors (14678394048).

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

5052456000 is a wasteful number, since it uses less digits than its factorization.

5052456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5052456000 is about 71080.6302729513. The cubic root of 5052456000 is about 1715.9350554912.

Adding to 5052456000 its reverse (6542505), we get a palindrome (5058998505).

The spelling of 5052456000 in words is "five billion, fifty-two million, four hundred fifty-six thousand".