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5528064 = 2935961
BaseRepresentation
bin10101000101101000000000
3101101212002010
4111011220000
52403344224
6314252520
764662543
oct25055000
911355063
105528064
113136353
121a27140
1311b7259
14a3c85a
15742e29
hex545a00

5528064 has 80 divisors (see below), whose sum is σ = 15222240. Its totient is φ = 1781760.

The previous prime is 5528063. The next prime is 5528101. The reversal of 5528064 is 4608255.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5528063) 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 7 ways as a sum of consecutive naturals, for example, 90594 + ... + 90654.

It is an arithmetic number, because the mean of its divisors is an integer number (190278).

Almost surely, 25528064 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 5528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7611120).

5528064 is an abundant number, since it is smaller than the sum of its proper divisors (9694176).

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

5528064 is an equidigital number, since it uses as much as digits as its factorization.

5528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5528064 is about 2351.1835317559. The cubic root of 5528064 is about 176.8171369451.

The spelling of 5528064 in words is "five million, five hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 64 96 118 122 128 177 183 192 236 244 256 354 366 384 472 488 512 708 732 768 944 976 1416 1464 1536 1888 1952 2832 2928 3599 3776 3904 5664 5856 7198 7552 7808 10797 11328 11712 14396 15104 15616 21594 22656 23424 28792 30208 31232 43188 45312 46848 57584 86376 90624 93696 115168 172752 230336 345504 460672 691008 921344 1382016 1842688 2764032 5528064