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4003252000 = 255311372459
BaseRepresentation
bin1110111010011100…
…1100011100100000
3101022222211021100121
43232213030130200
531144313031000
61501123330024
7201130036426
oct35647143440
911288737317
104003252000
111774805530
12938820914
134ba4bc987
1429d95d116
151866b8b1a
hexee9cc720

4003252000 has 192 divisors, whose sum is σ = 11024657280. Its totient is φ = 1415808000.

The previous prime is 4003251997. The next prime is 4003252003. The reversal of 4003252000 is 2523004.

4003252000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4003251997) and next prime (4003252003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4003252003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1626771 + ... + 1629229.

It is an arithmetic number, because the mean of its divisors is an integer number (57420090).

Almost surely, 24003252000 is an apocalyptic number.

4003252000 is a gapful number since it is divisible by the number (40) 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 4003252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512328640).

4003252000 is an abundant number, since it is smaller than the sum of its proper divisors (7021405280).

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

4003252000 is a wasteful number, since it uses less digits than its factorization.

4003252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 4003252000 is about 63271.2572974491. The cubic root of 4003252000 is about 1587.8311211256.

Adding to 4003252000 its reverse (2523004), we get a palindrome (4005775004).

The spelling of 4003252000 in words is "four billion, three million, two hundred fifty-two thousand".