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252482000 = 2453126241
BaseRepresentation
bin11110000110010…
…01000111010000
3122121002102012012
433003021013100
51004113411000
641015322052
76154030061
oct1703110720
9577072165
10252482000
1111a579511
1270680328
1340401344
1425764568
1517274735
hexf0c91d0

252482000 has 40 divisors (see below), whose sum is σ = 610506312. Its totient is φ = 100992000.

The previous prime is 252481997. The next prime is 252482003. The reversal of 252482000 is 284252.

It is an interprime number because it is at equal distance from previous prime (252481997) and next prime (252482003).

It can be written as a sum of positive squares in 4 ways, for example, as 55472704 + 197009296 = 7448^2 + 14036^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252482003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61121 + ... + 65120.

Almost surely, 2252482000 is an apocalyptic number.

252482000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252482000 is an abundant number, since it is smaller than the sum of its proper divisors (358024312).

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

252482000 is a wasteful number, since it uses less digits than its factorization.

252482000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126264 (or 126248 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 252482000 is about 15889.6821868784. The cubic root of 252482000 is about 632.0384129833.

The spelling of 252482000 in words is "two hundred fifty-two million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 126241 252482 504964 631205 1009928 1262410 2019856 2524820 3156025 5049640 6312050 10099280 12624100 15780125 25248200 31560250 50496400 63120500 126241000 252482000