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1002044512 = 25724713597
BaseRepresentation
bin111011101110011…
…111110001100000
32120211112010122201
4323232133301200
54023010411022
6243233142544
733555144400
oct7356376140
92524463581
101002044512
1147469a967
1223b6baa54
1312c7a4961
1497120800
155ce87127
hex3bb9fc60

1002044512 has 72 divisors (see below), whose sum is σ = 2343860064. Its totient is φ = 420279552.

The previous prime is 1002044431. The next prime is 1002044531. The reversal of 1002044512 is 2154402001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002044512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66898 + ... + 80494.

It is an arithmetic number, because the mean of its divisors is an integer number (32553612).

Almost surely, 21002044512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171930032).

1002044512 is an abundant number, since it is smaller than the sum of its proper divisors (1341815552).

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

1002044512 is a wasteful number, since it uses less digits than its factorization.

1002044512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13668 (or 13653 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1002044512 is about 31655.0866686541. The cubic root of 1002044512 is about 1000.6810400791.

Adding to 1002044512 its reverse (2154402001), we get a palindrome (3156446513).

The spelling of 1002044512 in words is "one billion, two million, forty-four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 94 98 112 188 196 224 329 376 392 658 752 784 1316 1504 1568 2303 2632 4606 5264 9212 10528 13597 18424 27194 36848 54388 73696 95179 108776 190358 217552 380716 435104 639059 666253 761432 1278118 1332506 1522864 2556236 2665012 3045728 4473413 5112472 5330024 8946826 10224944 10660048 17893652 20449888 21320096 31313891 35787304 62627782 71574608 125255564 143149216 250511128 501022256 1002044512