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1005252104 = 23418213733
BaseRepresentation
bin111011111010101…
…110111000001000
32121001120002122102
4323322232320020
54024321031404
6243430012532
733624334103
oct7372567010
92531502572
101005252104
1147649086a
122407a7148
1313035893c
149771773a
155d3bc71e
hex3beaee08

1005252104 has 32 divisors (see below), whose sum is σ = 1933689240. Its totient is φ = 489638400.

The previous prime is 1005252077. The next prime is 1005252119. The reversal of 1005252104 is 4012525001.

It can be written as a sum of positive squares in 4 ways, for example, as 519931204 + 485320900 = 22802^2 + 22030^2 .

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 7 ways as a sum of consecutive naturals, for example, 267422 + ... + 271154.

Almost surely, 21005252104 is an apocalyptic number.

It is an amenable number.

1005252104 is a deficient number, since it is larger than the sum of its proper divisors (928437136).

1005252104 is a wasteful number, since it uses less digits than its factorization.

1005252104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4597 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1005252104 is about 31705.7109051351. The cubic root of 1005252104 is about 1001.7476452900.

Adding to 1005252104 its reverse (4012525001), we get a palindrome (5017777105).

The spelling of 1005252104 in words is "one billion, five million, two hundred fifty-two thousand, one hundred four".

Divisors: 1 2 4 8 41 82 164 328 821 1642 3284 3733 6568 7466 14932 29864 33661 67322 134644 153053 269288 306106 612212 1224424 3064793 6129586 12259172 24518344 125656513 251313026 502626052 1005252104