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1252503000 = 2334537472
BaseRepresentation
bin100101010100111…
…1010110111011000
310020021210202010000
41022221322313120
510031120044000
6324141253000
743016046150
oct11251726730
93207722100
101252503000
11593007051
122ab564160
1316c647c48
14bc4b9760
1574e5c000
hex4aa7add8

1252503000 has 480 divisors, whose sum is σ = 5112375840. Its totient is φ = 280195200.

The previous prime is 1252502989. The next prime is 1252503037. The reversal of 1252503000 is 3052521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 26648977 + ... + 26649023.

It is an arithmetic number, because the mean of its divisors is an integer number (10650783).

Almost surely, 21252503000 is an apocalyptic number.

1252503000 is a gapful number since it is divisible by the number (10) 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 1252503000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556187920).

1252503000 is an abundant number, since it is smaller than the sum of its proper divisors (3859872840).

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

1252503000 is an equidigital number, since it uses as much as digits as its factorization.

1252503000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1252503000 is about 35390.7191223914. The cubic root of 1252503000 is about 1077.9358723067.

Adding to 1252503000 its reverse (3052521), we get a palindrome (1255555521).

The spelling of 1252503000 in words is "one billion, two hundred fifty-two million, five hundred three thousand".