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1023935488 = 2101138849
BaseRepresentation
bin111101000010000…
…000010000000000
32122100201022102121
4331002000100000
54044111413423
6245334254024
734242210442
oct7502002000
92570638377
101023935488
11485a91984
12246ab7314
1313419a9b4
1499dbc492
155ed5d45d
hex3d080400

1023935488 has 44 divisors (see below), whose sum is σ = 2065218300. Its totient is φ = 507379712.

The previous prime is 1023935411. The next prime is 1023935489. The reversal of 1023935488 is 8845393201.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 1015824384 = 2848^2 + 31872^2 .

It is not an unprimeable number, because it can be changed into a prime (1023935489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 111288 + ... + 120136.

Almost surely, 21023935488 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 1023935488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032609150).

1023935488 is an abundant number, since it is smaller than the sum of its proper divisors (1041282812).

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

1023935488 is an equidigital number, since it uses as much as digits as its factorization.

1023935488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8982 (or 8964 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 1023935488 is about 31998.9919841235. The cubic root of 1023935488 is about 1007.9156727977.

The spelling of 1023935488 in words is "one billion, twenty-three million, nine hundred thirty-five thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1024 1808 3616 7232 8849 14464 17698 28928 35396 57856 70792 115712 141584 283168 566336 999937 1132672 1999874 2265344 3999748 4530688 7999496 9061376 15998992 31997984 63995968 127991936 255983872 511967744 1023935488