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2728636032 = 2737879029
BaseRepresentation
bin1010001010100011…
…1010111010000000
321001011102001221210
42202220322322000
521042012323112
61130432050120
7124422011043
oct24250727200
97034361853
102728636032
111180275701
12641993940
13346401945
141bc568c5a
1510e83eb3c
hexa2a3ae80

2728636032 has 64 divisors (see below), whose sum is σ = 7257952800. Its totient is φ = 908289024.

The previous prime is 2728636019. The next prime is 2728636049. The reversal of 2728636032 is 2306368272.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 297694 + ... + 306722.

Almost surely, 22728636032 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 2728636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628976400).

2728636032 is an abundant number, since it is smaller than the sum of its proper divisors (4529316768).

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

2728636032 is an equidigital number, since it uses as much as digits as its factorization.

2728636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9833 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 2728636032 is about 52236.3478049528. The cubic root of 2728636032 is about 1397.3821883675.

The spelling of 2728636032 in words is "two billion, seven hundred twenty-eight million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 787 1574 2361 3148 4722 6296 9029 9444 12592 18058 18888 25184 27087 36116 37776 50368 54174 72232 75552 100736 108348 144464 151104 216696 288928 302208 433392 577856 866784 1155712 1733568 3467136 7105823 14211646 21317469 28423292 42634938 56846584 85269876 113693168 170539752 227386336 341079504 454772672 682159008 909545344 1364318016 2728636032