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66355552 = 2523891013
BaseRepresentation
bin1111110100100…
…0000101100000
311121212012201001
43331020011200
5113441334202
610330121344
71434004264
oct375100540
9147765631
1066355552
11345019aa
121a280254
1310993a53
148b540a4
155c5ad87
hex3f48160

66355552 has 48 divisors (see below), whose sum is σ = 137985120. Its totient is φ = 31347712.

The previous prime is 66355537. The next prime is 66355571. The reversal of 66355552 is 25555366.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64998 + ... + 66010.

It is an arithmetic number, because the mean of its divisors is an integer number (2874690).

Almost surely, 266355552 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 66355552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68992560).

66355552 is an abundant number, since it is smaller than the sum of its proper divisors (71629568).

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

66355552 is a wasteful number, since it uses less digits than its factorization.

66355552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1127 counting only the distinct ones).

The product of its digits is 135000, while the sum is 37.

The square root of 66355552 is about 8145.8917252809. The cubic root of 66355552 is about 404.8483952201.

It can be divided in two parts, 66 and 355552, that multiplied together give a palindrome (23466432).

The spelling of 66355552 in words is "sixty-six million, three hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 712 736 1013 1424 2026 2047 2848 4052 4094 8104 8188 16208 16376 23299 32416 32752 46598 65504 90157 93196 180314 186392 360628 372784 721256 745568 1442512 2073611 2885024 4147222 8294444 16588888 33177776 66355552