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1025065536 = 26311244123
BaseRepresentation
bin111101000110010…
…100001001000000
32122102211201120020
4331012110021000
54044404044121
6245414413440
734254625155
oct7506241100
92572751506
101025065536
11486693a00
12247361280
131344a5171
149a1d422c
155eed31c6
hex3d194240

1025065536 has 84 divisors (see below), whose sum is σ = 2981193936. Its totient is φ = 310618880.

The previous prime is 1025065511. The next prime is 1025065537. The reversal of 1025065536 is 6355605201.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1025065497 and 1025065506.

It is not an unprimeable number, because it can be changed into a prime (1025065537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171 + ... + 45293.

It is an arithmetic number, because the mean of its divisors is an integer number (35490404).

Almost surely, 21025065536 is an apocalyptic number.

1025065536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1025065536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490596968).

1025065536 is an abundant number, since it is smaller than the sum of its proper divisors (1956128400).

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

1025065536 is a wasteful number, since it uses less digits than its factorization.

1025065536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44160 (or 44139 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 1025065536 is about 32016.6446711707. The cubic root of 1025065536 is about 1008.2863258159.

The spelling of 1025065536 in words is "one billion, twenty-five million, sixty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 44123 88246 132369 176492 264738 352984 485353 529476 705968 970706 1058952 1411936 1456059 1941412 2117904 2823872 2912118 3882824 4235808 5338883 5824236 7765648 8471616 10677766 11648472 15531296 16016649 21355532 23296944 31062592 32033298 42711064 46593888 64066596 85422128 93187776 128133192 170844256 256266384 341688512 512532768 1025065536