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482242500 = 22325421433
BaseRepresentation
bin11100101111100…
…110111111000100
31020121102110100100
4130233212333010
51441423230000
6115504044100
714643664545
oct3457467704
91217373310
10482242500
11228238a23
12115603630
1378ba85bc
14480924cc
152c50ba00
hex1cbe6fc4

482242500 has 90 divisors (see below), whose sum is σ = 1523335814. Its totient is φ = 128592000.

The previous prime is 482242457. The next prime is 482242507. The reversal of 482242500 is 5242284.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 309267396 + 172975104 = 17586^2 + 13152^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (482242507) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11784 + ... + 33216.

Almost surely, 2482242500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482242500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761667907).

482242500 is an abundant number, since it is smaller than the sum of its proper divisors (1041093314).

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

482242500 is a wasteful number, since it uses less digits than its factorization.

482242500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21463 (or 21443 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 482242500 is about 21960.0204917937. The cubic root of 482242500 is about 784.1909524636.

Adding to 482242500 its reverse (5242284), we get a palindrome (487484784).

The spelling of 482242500 in words is "four hundred eighty-two million, two hundred forty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 125 150 180 225 250 300 375 450 500 625 750 900 1125 1250 1500 1875 2250 2500 3750 4500 5625 7500 11250 21433 22500 42866 64299 85732 107165 128598 192897 214330 257196 321495 385794 428660 535825 642990 771588 964485 1071650 1285980 1607475 1928970 2143300 2679125 3214950 3857940 4822425 5358250 6429900 8037375 9644850 10716500 13395625 16074750 19289700 24112125 26791250 32149500 40186875 48224250 53582500 80373750 96448500 120560625 160747500 241121250 482242500