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1002000048 = 24372982143
BaseRepresentation
bin111011101110010…
…100111010110000
32120211102212122220
4323232110322300
54023003000143
6243232201040
733554600640
oct7356247260
92524385586
101002000048
1147466a515
1223b699180
1312c78a64a
149710c520
155ce78d83
hex3bb94eb0

1002000048 has 40 divisors (see below), whose sum is σ = 2958286848. Its totient is φ = 286285632.

The previous prime is 1002000047. The next prime is 1002000089. The reversal of 1002000048 is 8400002001.

It is not an unprimeable number, because it can be changed into a prime (1002000047) by changing a digit.

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, 1490736 + ... + 1491407.

Almost surely, 21002000048 is an apocalyptic number.

It is an amenable number.

1002000048 is an abundant number, since it is smaller than the sum of its proper divisors (1956286800).

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

1002000048 is a wasteful number, since it uses less digits than its factorization.

1002000048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2982161 (or 2982155 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1002000048 is about 31654.3843408776. The cubic root of 1002000048 is about 1000.6662386941. Note that the first 3 decimals are identical.

Adding to 1002000048 its reverse (8400002001), we get a palindrome (9402002049).

The spelling of 1002000048 in words is "one billion, two million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2982143 5964286 8946429 11928572 17892858 20875001 23857144 35785716 41750002 47714288 62625003 71571432 83500004 125250006 143142864 167000008 250500012 334000016 501000024 1002000048