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482900625 = 32542932
BaseRepresentation
bin11100110010000…
…111101010010001
31020122122220010100
4130302013222101
51442110310000
6115530123013
714652405354
oct3462075221
91218586110
10482900625
11228648429
12115880469
137907901c
14481c429b
152c5dba00
hex1cc87a91

482900625 has 45 divisors (see below), whose sum is σ = 874609879. Its totient is φ = 256668000.

The previous prime is 482900597. The next prime is 482900647. The reversal of 482900625 is 526009284.

It is a happy number.

The square root of 482900625 is 21975.

It is a perfect power (a square), and thus also a powerful number.

482900625 is a `hidden beast` number, since 4 + 8 + 29 + 0 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 118396161 + 364504464 = 10881^2 + 19092^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-482900625 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 482900625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1647979 + ... + 1648271.

Almost surely, 2482900625 is an apocalyptic number.

482900625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

482900625 is the 21975-th square number.

482900625 is the 10988-th centered octagonal number.

It is an amenable number.

482900625 is a deficient number, since it is larger than the sum of its proper divisors (391709254).

482900625 is an frugal number, since it uses more digits than its factorization.

482900625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 482900625 is about 784.5475234650.

Multiplying 482900625 by its sum of digits (36), we get a square (17384422500 = 1318502).

The spelling of 482900625 in words is "four hundred eighty-two million, nine hundred thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 293 375 625 879 1125 1465 1875 2637 4395 5625 7325 13185 21975 36625 65925 85849 109875 183125 257547 329625 429245 549375 772641 1287735 1648125 2146225 3863205 6438675 10731125 19316025 32193375 53655625 96580125 160966875 482900625