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995465601 = 321328092
BaseRepresentation
bin111011010101011…
…001100110000001
32120101010220002100
4323111121212001
54014314344401
6242440141013
733445214034
oct7325314601
92511126070
10995465601
11470a07049
12239467769
1312b310300
14962cb01b
155c5d7b86
hex3b559981

995465601 has 27 divisors (see below), whose sum is σ = 1558937289. Its totient is φ = 611836992.

The previous prime is 995465591. The next prime is 995465657. The reversal of 995465601 is 106564599.

It is a happy number.

The square root of 995465601 is 31551.

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

995465601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1703025 + 993762576 = 1305^2 + 31524^2 .

It is not a de Polignac number, because 995465601 - 215 = 995432833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (995465101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1230085 + ... + 1230893.

Almost surely, 2995465601 is an apocalyptic number.

995465601 is the 31551-st square number.

995465601 is the 15776-th centered octagonal number.

It is an amenable number.

995465601 is a deficient number, since it is larger than the sum of its proper divisors (563471688).

995465601 is an equidigital number, since it uses as much as digits as its factorization.

995465601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The cubic root of 995465601 is about 998.4862433638.

Multiplying 995465601 by its product of nonzero digits (291600), we get a square (290277769251600 = 170375402).

The spelling of 995465601 in words is "nine hundred ninety-five million, four hundred sixty-five thousand, six hundred one".

Divisors: 1 3 9 13 39 117 169 507 809 1521 2427 7281 10517 31551 94653 136721 410163 654481 1230489 1963443 5890329 8508253 25524759 76574277 110607289 331821867 995465601