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1002568972 = 221967401491
BaseRepresentation
bin111011110000011…
…111110100001100
32120212111210002011
4323300133310030
54023124201342
6243252311004
733562460416
oct7360376414
92525453064
101002568972
11474a189a9
1223b912464
1312c9295a2
14972199b6
155d03c717
hex3bc1fd0c

1002568972 has 48 divisors (see below), whose sum is σ = 1882903680. Its totient is φ = 465696000.

The previous prime is 1002568967. The next prime is 1002568997. The reversal of 1002568972 is 2798652001.

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 15 ways as a sum of consecutive naturals, for example, 2041647 + ... + 2042137.

It is an arithmetic number, because the mean of its divisors is an integer number (39227160).

Almost surely, 21002568972 is an apocalyptic number.

It is an amenable number.

1002568972 is a deficient number, since it is larger than the sum of its proper divisors (880334708).

1002568972 is a wasteful number, since it uses less digits than its factorization.

1002568972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 980 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 1002568972 is about 31663.3695616875. The cubic root of 1002568972 is about 1000.8555917540.

The spelling of 1002568972 in words is "one billion, two million, five hundred sixty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 19 38 67 76 134 268 401 491 802 982 1273 1604 1964 2546 5092 7619 9329 15238 18658 26867 30476 32897 37316 53734 65794 107468 131588 196891 393782 510473 625043 787564 1020946 1250086 2041892 2500172 3740929 7481858 13191697 14963716 26383394 52766788 250642243 501284486 1002568972