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1005005252 = 221714779489
BaseRepresentation
bin111011111001110…
…010100111000100
32121001002120000202
4323321302213010
54024240132002
6243420430032
733622255316
oct7371624704
92531076022
101005005252
11476332359
122406a8318
131302a0484
14976917b6
155d36e502
hex3be729c4

1005005252 has 12 divisors (see below), whose sum is σ = 1862215740. Its totient is φ = 472943616.

The previous prime is 1005005249. The next prime is 1005005273. The reversal of 1005005252 is 2525005001.

It can be written as a sum of positive squares in 2 ways, for example, as 763637956 + 241367296 = 27634^2 + 15536^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7389677 + ... + 7389812.

It is an arithmetic number, because the mean of its divisors is an integer number (155184645).

Almost surely, 21005005252 is an apocalyptic number.

It is an amenable number.

1005005252 is a deficient number, since it is larger than the sum of its proper divisors (857210488).

1005005252 is a wasteful number, since it uses less digits than its factorization.

1005005252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14779510 (or 14779508 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 1005005252 is about 31701.8178027696. The cubic root of 1005005252 is about 1001.6656414316.

The spelling of 1005005252 in words is "one billion, five million, five thousand, two hundred fifty-two".

Divisors: 1 2 4 17 34 68 14779489 29558978 59117956 251251313 502502626 1005005252