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2947406085 = 3251312374073
BaseRepresentation
bin1010111110101101…
…1101100100000101
321121102001202001100
42233223131210011
522014013443320
61204245050313
7133016352441
oct25753354405
97542052040
102947406085
1112828088a8
126a30b6999
1337c82b590
141dd635821
15123b55790
hexafadd905

2947406085 has 48 divisors (see below), whose sum is σ = 5507624304. Its totient is φ = 1449501696.

The previous prime is 2947406083. The next prime is 2947406123. The reversal of 2947406085 is 5806047492.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 361988676 + 2585417409 = 19026^2 + 50847^2 .

It is not a de Polignac number, because 2947406085 - 21 = 2947406083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2947406085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947406083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721609 + ... + 725681.

It is an arithmetic number, because the mean of its divisors is an integer number (114742173).

Almost surely, 22947406085 is an apocalyptic number.

It is an amenable number.

2947406085 is a deficient number, since it is larger than the sum of its proper divisors (2560218219).

2947406085 is a wasteful number, since it uses less digits than its factorization.

2947406085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334 (or 5331 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2947406085 is about 54290.0182814484. The cubic root of 2947406085 is about 1433.7716602751.

The spelling of 2947406085 in words is "two billion, nine hundred forty-seven million, four hundred six thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 1237 3711 4073 6185 11133 12219 16081 18555 20365 36657 48243 52949 55665 61095 80405 144729 158847 183285 241215 264745 476541 723645 794235 2382705 5038301 15114903 25191505 45344709 65497913 75574515 196493739 226723545 327489565 589481217 982468695 2947406085