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1006308949 = 23312515623
BaseRepresentation
bin111011111110110…
…000111001010101
32121010112210100211
4323332300321111
54030103341244
6243504405421
733636325222
oct7376607125
92533483324
101006308949
11477042898
12241016871
131306389a9
1497910949
155d52a934
hex3bfb0e55

1006308949 has 16 divisors (see below), whose sum is σ = 1088446464. Its totient is φ = 927630000.

The previous prime is 1006308923. The next prime is 1006308959. The reversal of 1006308949 is 9498036001.

It is a cyclic number.

It is not a de Polignac number, because 1006308949 - 29 = 1006308437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006308959) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176152 + ... + 181774.

It is an arithmetic number, because the mean of its divisors is an integer number (68027904).

Almost surely, 21006308949 is an apocalyptic number.

It is an amenable number.

1006308949 is a deficient number, since it is larger than the sum of its proper divisors (82137515).

1006308949 is a wasteful number, since it uses less digits than its factorization.

1006308949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928.

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 1006308949 is about 31722.3730039226. The cubic root of 1006308949 is about 1002.0985758985.

The spelling of 1006308949 in words is "one billion, six million, three hundred eight thousand, nine hundred forty-nine".

Divisors: 1 23 31 251 713 5623 5773 7781 129329 174313 178963 1411373 4009199 32461579 43752563 1006308949