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996980625 = 32544212
BaseRepresentation
bin111011011011001…
…011011110010001
32120110222212022100
4323123023132101
54020211340000
6242532431013
733464124024
oct7333133621
92513885270
10996980625
11471851333
12239a78469
1312b720a84
14965a31bb
155c7d6a00
hex3b6cb791

996980625 has 45 divisors (see below), whose sum is σ = 1803812439. Its totient is φ = 530460000.

The previous prime is 996980603. The next prime is 996980629. The reversal of 996980625 is 526089699.

The square root of 996980625 is 31575.

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

996980625 is a `hidden beast` number, since 9 + 9 + 6 + 9 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 951660801 + 45319824 = 30849^2 + 6732^2 .

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-996980625 is a prime.

It is not an unprimeable number, because it can be changed into a prime (996980629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2367915 + ... + 2368335.

Almost surely, 2996980625 is an apocalyptic number.

996980625 is the 31575-th square number.

996980625 is the 15788-th centered octagonal number.

It is an amenable number.

996980625 is a deficient number, since it is larger than the sum of its proper divisors (806831814).

996980625 is an frugal number, since it uses more digits than its factorization.

996980625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The cubic root of 996980625 is about 998.9925270057.

The spelling of 996980625 in words is "nine hundred ninety-six million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 421 625 1125 1263 1875 2105 3789 5625 6315 10525 18945 31575 52625 94725 157875 177241 263125 473625 531723 789375 886205 1595169 2368125 2658615 4431025 7975845 13293075 22155125 39879225 66465375 110775625 199396125 332326875 996980625