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1006632952 = 231323720123
BaseRepresentation
bin111011111111111…
…111111111111000
32121011011020210221
4323333333333320
54030144223302
6243515345424
733642144643
oct7377777770
92534136727
101006632952
11477244266
12241152274
13130720300
1497996a5a
155d591937
hex3bfffff8

1006632952 has 48 divisors (see below), whose sum is σ = 2099134440. Its totient is φ = 452020608.

The previous prime is 1006632947. The next prime is 1006632983. The reversal of 1006632952 is 2592366001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39963 + ... + 60085.

Almost surely, 21006632952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006632952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049567220).

1006632952 is an abundant number, since it is smaller than the sum of its proper divisors (1092501488).

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

1006632952 is a wasteful number, since it uses less digits than its factorization.

1006632952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192 (or 20175 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 1006632952 is about 31727.4794460575. The cubic root of 1006632952 is about 1002.2061134843.

Adding to 1006632952 its reverse (2592366001), we get a palindrome (3598998953).

The spelling of 1006632952 in words is "one billion, six million, six hundred thirty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 169 296 338 481 676 962 1352 1924 3848 6253 12506 20123 25012 40246 50024 80492 160984 261599 523198 744551 1046396 1489102 2092792 2978204 3400787 5956408 6801574 9679163 13603148 19358326 27206296 38716652 77433304 125829119 251658238 503316476 1006632952