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66628288 = 2619157349
BaseRepresentation
bin1111111000101…
…0101011000000
311122101001211101
43332022223000
5114024101123
610340024144
71436221366
oct376125300
9148331741
1066628288
1134678901
121a392054
1310a5ac2c
148bc5636
155cb1aad
hex3f8aac0

66628288 has 56 divisors (see below), whose sum is σ = 140462000. Its totient is φ = 31269888.

The previous prime is 66628279. The next prime is 66628301. The reversal of 66628288 is 88282666.

66628288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 190738 + ... + 191086.

It is an arithmetic number, because the mean of its divisors is an integer number (2508250).

Almost surely, 266628288 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 66628288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70231000).

66628288 is an abundant number, since it is smaller than the sum of its proper divisors (73833712).

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

66628288 is a wasteful number, since it uses less digits than its factorization.

66628288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The square root of 66628288 is about 8162.6152671800. The cubic root of 66628288 is about 405.4023091681.

The spelling of 66628288 in words is "sixty-six million, six hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 157 304 314 349 608 628 698 1216 1256 1396 2512 2792 2983 5024 5584 5966 6631 10048 11168 11932 13262 22336 23864 26524 47728 53048 54793 95456 106096 109586 190912 212192 219172 424384 438344 876688 1041067 1753376 2082134 3506752 4164268 8328536 16657072 33314144 66628288