Search a number
-
+
956355625 = 5412372
BaseRepresentation
bin111001000000001…
…101010000101001
32110122112220021201
4321000031100221
53424311340000
6234522004201
732461613551
oct7100152051
92418486251
10956355625
11450924155
12228346661
13123198904
149102a161
1558e5e96a
hex3900d429

956355625 has 15 divisors (see below), whose sum is σ = 1196028867. Its totient is φ = 764466000.

The previous prime is 956355607. The next prime is 956355629. The reversal of 956355625 is 526553659.

The square root of 956355625 is 30925.

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

It can be written as a sum of positive squares in 7 ways, for example, as 493417369 + 462938256 = 22213^2 + 21516^2 .

It is not a de Polignac number, because 956355625 - 27 = 956355497 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (956355629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 772507 + ... + 773743.

Almost surely, 2956355625 is an apocalyptic number.

956355625 is the 30925-th square number.

956355625 is the 15463-rd centered octagonal number.

It is an amenable number.

956355625 is a deficient number, since it is larger than the sum of its proper divisors (239673242).

956355625 is an frugal number, since it uses more digits than its factorization.

956355625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 1242 counting only the distinct ones).

The product of its digits is 1215000, while the sum is 46.

The cubic root of 956355625 is about 985.2349409945.

The spelling of 956355625 in words is "nine hundred fifty-six million, three hundred fifty-five thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 1237 6185 30925 154625 773125 1530169 7650845 38254225 191271125 956355625