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1000963044 = 223252732
BaseRepresentation
bin111011101010010…
…111101111100100
32120202111012011100
4323222113233210
54022221304134
6243154040100
733543021414
oct7352275744
92522435140
101000963044
11474021394
1223b279030
1312c4b6633
1496d1c644
155cd21999
hex3ba97be4

1000963044 has 27 divisors (see below), whose sum is σ = 2530692073. Its totient is φ = 333591072.

The previous prime is 1000963037. The next prime is 1000963087. The reversal of 1000963044 is 4403690001.

The square root of 1000963044 is 31638.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 494172900 + 506790144 = 22230^2 + 22512^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000962999 and 1000963017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187192 + ... + 192464.

Almost surely, 21000963044 is an apocalyptic number.

1000963044 is the 31638-th square number.

It is an amenable number.

1000963044 is an abundant number, since it is smaller than the sum of its proper divisors (1529729029).

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

1000963044 is an frugal number, since it uses more digits than its factorization.

1000963044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10556 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The cubic root of 1000963044 is about 1000.3209116713.

The spelling of 1000963044 in words is "one billion, nine hundred sixty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5273 10546 15819 21092 31638 47457 63276 94914 189828 27804529 55609058 83413587 111218116 166827174 250240761 333654348 500481522 1000963044