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4709390625 = 3456612
BaseRepresentation
bin1000110001011001…
…11001100100100001
3110011012112211110000
410120230321210201
534121101000000
62055150330213
7224463105552
oct43054714441
913135484400
104709390625
111aa7367975
12ab51b9969
135a089b194
14329654329
151c86a0000
hex118b39921

4709390625 has 105 divisors (see below), whose sum is σ = 8940178533. Its totient is φ = 2470500000.

The previous prime is 4709390579. The next prime is 4709390629. The reversal of 4709390625 is 5260939074.

It is a happy number.

The square root of 4709390625 is 68625.

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

4709390625 is a `hidden beast` number, since 470 + 93 + 90 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1249127649 + 3460262976 = 35343^2 + 58824^2 .

It is not a de Polignac number, because 4709390625 - 211 = 4709388577 is a prime.

It is a super-3 number, since 3×47093906253 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4709390629) by changing a digit.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 77203095 + ... + 77203155.

Almost surely, 24709390625 is an apocalyptic number.

4709390625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4709390625 is the 68625-th square number.

4709390625 is the 34313-rd centered octagonal number.

It is an amenable number.

4709390625 is a deficient number, since it is larger than the sum of its proper divisors (4230787908).

4709390625 is an frugal number, since it uses more digits than its factorization.

4709390625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The cubic root of 4709390625 is about 1676.1835401484.

The spelling of 4709390625 in words is "four billion, seven hundred nine million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 61 75 81 125 135 183 225 305 375 405 549 625 675 915 1125 1525 1647 1875 2025 2745 3125 3375 3721 4575 4941 5625 7625 8235 9375 10125 11163 13725 15625 16875 18605 22875 24705 28125 33489 38125 41175 46875 50625 55815 68625 84375 93025 100467 114375 123525 140625 167445 190625 205875 253125 279075 301401 343125 421875 465125 502335 571875 617625 837225 953125 1029375 1265625 1395375 1507005 1715625 2325625 2511675 2859375 3088125 4186125 5146875 6976875 7535025 8578125 11628125 12558375 15440625 20930625 25734375 34884375 37675125 58140625 62791875 77203125 104653125 174421875 188375625 313959375 523265625 941878125 1569796875 4709390625