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1028909056 = 2117210253
BaseRepresentation
bin111101010100111…
…110100000000000
32122201001222212211
4331110332200000
54101400042211
6250033031504
734332403600
oct7524764000
92581058784
101028909056
1148887966a
122486b5594
1313521c736
149a914c00
15604e1e21
hex3d53e800

1028909056 has 72 divisors (see below), whose sum is σ = 2393437410. Its totient is φ = 440918016.

The previous prime is 1028909051. The next prime is 1028909059. The reversal of 1028909056 is 6509098201.

It can be written as a sum of positive squares in only one way, i.e., 997549056 + 31360000 = 31584^2 + 5600^2 .

It is a super-2 number, since 2×10289090562 = 2117307691037622272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1028909051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95226 + ... + 105478.

Almost surely, 21028909056 is an apocalyptic number.

1028909056 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 1028909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196718705).

1028909056 is an abundant number, since it is smaller than the sum of its proper divisors (1364528354).

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

1028909056 is an equidigital number, since it uses as much as digits as its factorization.

1028909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10289 (or 10262 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1028909056 is about 32076.6122899536. The cubic root of 1028909056 is about 1009.5449559478.

The spelling of 1028909056 in words is "one billion, twenty-eight million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2048 3136 3584 6272 7168 10253 12544 14336 20506 25088 41012 50176 71771 82024 100352 143542 164048 287084 328096 502397 574168 656192 1004794 1148336 1312384 2009588 2296672 2624768 4019176 4593344 5249536 8038352 9186688 10499072 16076704 18373376 20998144 32153408 36746752 64306816 73493504 128613632 146987008 257227264 514454528 1028909056