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93002049 = 327347641
BaseRepresentation
bin1011000101100…
…01100101000001
320110222222211100
411202301211001
5142302031144
613121205013
72206335000
oct542614501
9213888740
1093002049
11485518a8
1227190769
13163634ca
14c4ccc37
158271269
hex58b1941

93002049 has 48 divisors (see below), whose sum is σ = 160243200. Its totient is φ = 51932160.

The previous prime is 93002047. The next prime is 93002057. The reversal of 93002049 is 94020039.

It is not a de Polignac number, because 93002049 - 21 = 93002047 is a prime.

It is a super-2 number, since 2×930020492 = 17298762236396802, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (93002047) 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 47 ways as a sum of consecutive naturals, for example, 144769 + ... + 145409.

It is an arithmetic number, because the mean of its divisors is an integer number (3338400).

Almost surely, 293002049 is an apocalyptic number.

It is an amenable number.

93002049 is a deficient number, since it is larger than the sum of its proper divisors (67241151).

93002049 is a wasteful number, since it uses less digits than its factorization.

93002049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 93002049 is about 9643.7569961089. The cubic root of 93002049 is about 453.0688169358.

The spelling of 93002049 in words is "ninety-three million, two thousand, forty-nine".

Divisors: 1 3 7 9 21 47 49 63 141 147 329 343 423 441 641 987 1029 1923 2303 2961 3087 4487 5769 6909 13461 16121 20727 30127 31409 40383 48363 90381 94227 145089 210889 219863 271143 282681 632667 659589 1476223 1898001 1978767 4428669 10333561 13286007 31000683 93002049