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30813601 = 72132612
BaseRepresentation
bin111010110001…
…0110110100001
32010222111022111
41311202312201
530342013401
63020235321
7522624400
oct165426641
963874274
1030813601
1116436795
12a39bb41
1364cb400
144141637
152a89e51
hex1d62da1

30813601 has 27 divisors (see below), whose sum is σ = 39460473. Its totient is φ = 23980320.

The previous prime is 30813599. The next prime is 30813613. The reversal of 30813601 is 10631803.

The square root of 30813601 is 5551.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21669025 + 9144576 = 4655^2 + 3024^2 .

It is not a de Polignac number, because 30813601 - 21 = 30813599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30813641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 505111 + ... + 505171.

It is an arithmetic number, because the mean of its divisors is an integer number (1461499).

Almost surely, 230813601 is an apocalyptic number.

30813601 is the 5551-st square number.

30813601 is the 2776-th centered octagonal number.

It is an amenable number.

30813601 is a deficient number, since it is larger than the sum of its proper divisors (8646872).

30813601 is an equidigital number, since it uses as much as digits as its factorization.

30813601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 30813601 is about 313.5071751735.

The spelling of 30813601 in words is "thirty million, eight hundred thirteen thousand, six hundred one".

Divisors: 1 7 13 49 61 91 169 427 637 793 1183 2989 3721 5551 8281 10309 26047 38857 48373 72163 182329 338611 505141 628849 2370277 4401943 30813601