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530426961 = 368532
BaseRepresentation
bin11111100111011…
…010110001010001
31100222002111000000
4133213122301101
52041242130321
6124344520213
716100361201
oct3747326121
91328074000
10530426961
11252459699
12129780069
1385b7950c
1450636401
1531878826
hex1f9dac51

530426961 has 21 divisors (see below), whose sum is σ = 796210059. Its totient is φ = 353203416.

The previous prime is 530426947. The next prime is 530426977. The reversal of 530426961 is 169624035.

It is a happy number.

The square root of 530426961 is 23031.

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

530426961 is a `hidden beast` number, since 530 + 4 + 2 + 69 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30636225 + 499790736 = 5535^2 + 22356^2 .

It is a de Polignac number, because none of the positive numbers 2k-530426961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (530426261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 621411 + ... + 622263.

Almost surely, 2530426961 is an apocalyptic number.

530426961 is the 23031-st square number.

530426961 is the 11516-th centered octagonal number.

It is an amenable number.

530426961 is a deficient number, since it is larger than the sum of its proper divisors (265783098).

530426961 is an frugal number, since it uses more digits than its factorization.

530426961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 530426961 is about 809.4844867932.

Multiplying 530426961 by its sum of digits (36), we get a square (19095370596 = 1381862).

The spelling of 530426961 in words is "five hundred thirty million, four hundred twenty-six thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 243 729 853 2559 7677 23031 69093 207279 621837 727609 2182827 6548481 19645443 58936329 176808987 530426961