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1006523252 = 227193161031
BaseRepresentation
bin111011111111100…
…101001101110100
32121010221200022222
4323333211031310
54030132221002
6243513141512
733641210060
oct7377451564
92533850288
101006523252
114771798a9
122410ba898
131306b23b7
1497968aa0
155d56e1a2
hex3bfe5374

1006523252 has 48 divisors (see below), whose sum is σ = 2187386880. Its totient is φ = 395474400.

The previous prime is 1006523251. The next prime is 1006523257. The reversal of 1006523252 is 2523256001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006523251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14024 + ... + 47007.

It is an arithmetic number, because the mean of its divisors is an integer number (45570560).

Almost surely, 21006523252 is an apocalyptic number.

It is an amenable number.

1006523252 is an abundant number, since it is smaller than the sum of its proper divisors (1180863628).

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

1006523252 is a wasteful number, since it uses less digits than its factorization.

1006523252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61092 (or 61090 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1006523252 is about 31725.7506136577. The cubic root of 1006523252 is about 1002.1697063032.

Adding to 1006523252 its reverse (2523256001), we get a palindrome (3529779253).

The spelling of 1006523252 in words is "one billion, six million, five hundred twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 868 1178 2356 4123 8246 16492 61031 122062 244124 427217 854434 1159589 1708868 1891961 2319178 3783922 4638356 7567844 8117123 13243727 16234246 26487454 32468492 35947259 52974908 71894518 143789036 251630813 503261626 1006523252