Search a number
-
+
247083004 = 2278824393
BaseRepresentation
bin11101011101000…
…10111111111100
3122012221010011101
432232202333330
51001223124004
640303502444
76060112420
oct1656427774
9565833141
10247083004
11117521133
126a8b7a24
133c260a7c
1424b5ab80
1516a59ba4
hexeba2ffc

247083004 has 12 divisors (see below), whose sum is σ = 494166064. Its totient is φ = 105892704.

The previous prime is 247082999. The next prime is 247083017. The reversal of 247083004 is 400380742.

247083004 is an admirable number.

It is a super-2 number, since 2×2470830042 = 122100021731328032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 8824393 = 247083004 / (2 + 4 + 7 + 0 + 8 + 3 + 0 + 0 + 4).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4412169 + ... + 4412224.

Almost surely, 2247083004 is an apocalyptic number.

It is an amenable number.

247083004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

247083004 is a wasteful number, since it uses less digits than its factorization.

247083004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8824404 (or 8824402 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 247083004 is about 15718.8741327107. The cubic root of 247083004 is about 627.5008102506.

The spelling of 247083004 in words is "two hundred forty-seven million, eighty-three thousand, four".

Divisors: 1 2 4 7 14 28 8824393 17648786 35297572 61770751 123541502 247083004