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500132000 = 2553971289
BaseRepresentation
bin11101110011110…
…110100010100000
31021212002100010102
4131303312202200
52011013211000
6121343321532
715252023534
oct3563664240
91255070112
10500132000
11237347635
1211b5b02a8
137c8001c4
144a5cbbc4
152dd923d5
hex1dcf68a0

500132000 has 96 divisors (see below), whose sum is σ = 1242455760. Its totient is φ = 197836800.

The previous prime is 500131991. The next prime is 500132051. The reversal of 500132000 is 231005.

It can be written as a sum of positive squares in 8 ways, for example, as 50183056 + 449948944 = 7084^2 + 21212^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387356 + ... + 388644.

Almost surely, 2500132000 is an apocalyptic number.

500132000 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 500132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621227880).

500132000 is an abundant number, since it is smaller than the sum of its proper divisors (742323760).

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

500132000 is a wasteful number, since it uses less digits than its factorization.

500132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 500132000 is about 22363.6311899477. The cubic root of 500132000 is about 793.7703654849.

Adding to 500132000 its reverse (231005), we get a palindrome (500363005).

The spelling of 500132000 in words is "five hundred million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 97 100 125 160 194 200 250 388 400 485 500 776 800 970 1000 1289 1552 1940 2000 2425 2578 3104 3880 4000 4850 5156 6445 7760 9700 10312 12125 12890 15520 19400 20624 24250 25780 32225 38800 41248 48500 51560 64450 77600 97000 103120 125033 128900 161125 194000 206240 250066 257800 322250 388000 500132 515600 625165 644500 1000264 1031200 1250330 1289000 2000528 2500660 2578000 3125825 4001056 5001320 5156000 6251650 10002640 12503300 15629125 20005280 25006600 31258250 50013200 62516500 100026400 125033000 250066000 500132000