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2948598601 = 13241772
BaseRepresentation
bin1010111111000000…
…0000101101001001
321121111022022212121
42233300000231021
522014320123401
61204330411241
7133032450244
oct25760005511
97544268777
102948598601
111283452853
126a3590b21
1337cb58300
141dd86625b
15123cddca1
hexafc00b49

2948598601 has 9 divisors (see below), whose sum is σ = 3193625781. Its totient is φ = 2721131712.

The previous prime is 2948598571. The next prime is 2948598617. The reversal of 2948598601 is 1068958492.

The square root of 2948598601 is 54301.

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 39075001 + 2909523600 = 6251^2 + 53940^2 .

It is not a de Polignac number, because 2948598601 - 225 = 2915044169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2948592601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 703825 + ... + 708001.

It is an arithmetic number, because the mean of its divisors is an integer number (354847309).

Almost surely, 22948598601 is an apocalyptic number.

2948598601 is the 54301-st square number.

2948598601 is the 27151-st centered octagonal number.

It is an amenable number.

2948598601 is a deficient number, since it is larger than the sum of its proper divisors (245027180).

2948598601 is an frugal number, since it uses more digits than its factorization.

2948598601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8380 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 52.

The cubic root of 2948598601 is about 1433.9650014768.

The spelling of 2948598601 in words is "two billion, nine hundred forty-eight million, five hundred ninety-eight thousand, six hundred one".

Divisors: 1 13 169 4177 54301 705913 17447329 226815277 2948598601