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473520125 = 53131761281
BaseRepresentation
bin11100001110010…
…101011111111101
31020000000022111102
4130032111133331
51432210121000
6114553102445
714506566101
oct3416253775
91200008442
10473520125
11223320751
121126b7a25
1377143430
1446c61901
152b8873d5
hex1c3957fd

473520125 has 64 divisors (see below), whose sum is σ = 687331008. Its totient is φ = 322560000.

The previous prime is 473520119. The next prime is 473520163. The reversal of 473520125 is 521025374.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 470499481 + 3020644 = 21691^2 + 1738^2 .

It is a de Polignac number, because none of the positive numbers 2k-473520125 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1684985 + ... + 1685265.

It is an arithmetic number, because the mean of its divisors is an integer number (10739547).

Almost surely, 2473520125 is an apocalyptic number.

It is an amenable number.

473520125 is a deficient number, since it is larger than the sum of its proper divisors (213810883).

473520125 is a wasteful number, since it uses less digits than its factorization.

473520125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 473520125 is about 21760.5175719697. The cubic root of 473520125 is about 779.4342407328.

Adding to 473520125 its reverse (521025374), we get a palindrome (994545499).

The spelling of 473520125 in words is "four hundred seventy-three million, five hundred twenty thousand, one hundred twenty-five".

Divisors: 1 5 13 17 25 61 65 85 125 221 281 305 325 425 793 1037 1105 1405 1525 1625 2125 3653 3965 4777 5185 5525 7025 7625 13481 17141 18265 19825 23885 25925 27625 35125 62101 67405 85705 91325 99125 119425 129625 222833 291397 310505 337025 428525 456625 597125 1114165 1456985 1552525 1685125 2142625 3788161 5570825 7284925 7762625 18940805 27854125 36424625 94704025 473520125