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66602848 = 2513236961
BaseRepresentation
bin1111111000010…
…0011101100000
311122022202221011
43332010131200
5114022242343
610335310304
71436054254
oct376043540
9148282834
1066602848
1134660784
121a37b394
1310a4c490
148bba264
155ca929d
hex3f84760

66602848 has 48 divisors (see below), whose sum is σ = 147371616. Its totient is φ = 29399040.

The previous prime is 66602843. The next prime is 66602863. The reversal of 66602848 is 84820666.

66602848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666028482 = 8871878723422208, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66602848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66602843) 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 7 ways as a sum of consecutive naturals, for example, 6088 + ... + 13048.

It is an arithmetic number, because the mean of its divisors is an integer number (3070242).

Almost surely, 266602848 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 66602848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73685808).

66602848 is an abundant number, since it is smaller than the sum of its proper divisors (80768768).

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

66602848 is a wasteful number, since it uses less digits than its factorization.

66602848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7007 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 66602848 is about 8161.0567943129. The cubic root of 66602848 is about 405.3507057228.

The spelling of 66602848 in words is "sixty-six million, six hundred two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 6961 9568 13922 27844 55688 90493 111376 160103 180986 222752 320206 361972 640412 723944 1280824 1447888 2081339 2561648 2895776 4162678 5123296 8325356 16650712 33301424 66602848