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66603744 = 2532281823
BaseRepresentation
bin1111111000010…
…0101011100000
311122022211011100
43332010223200
5114022304434
610335314400
71436060004
oct376045340
9148284140
1066603744
1134661419
121a37ba00
1310a4c9cc
148bba704
155ca9699
hex3f84ae0

66603744 has 72 divisors (see below), whose sum is σ = 190309392. Its totient is φ = 22095360.

The previous prime is 66603727. The next prime is 66603787. The reversal of 66603744 is 44730666.

66603744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66603699 and 66603708.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 80517 + ... + 81339.

It is an arithmetic number, because the mean of its divisors is an integer number (2643186).

Almost surely, 266603744 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 66603744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95154696).

66603744 is an abundant number, since it is smaller than the sum of its proper divisors (123705648).

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

66603744 is a wasteful number, since it uses less digits than its factorization.

66603744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 66603744 is about 8161.1116889796. Note that the first 3 decimals coincide. The cubic root of 66603744 is about 405.3525234259.

It can be divided in two parts, 6660 and 3744, that added together give a square (10404 = 1022).

The spelling of 66603744 in words is "sixty-six million, six hundred three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 281 288 562 823 843 1124 1646 1686 2248 2469 2529 3292 3372 4496 4938 5058 6584 6744 7407 8992 9876 10116 13168 13488 14814 19752 20232 26336 26976 29628 39504 40464 59256 79008 80928 118512 231263 237024 462526 693789 925052 1387578 1850104 2081367 2775156 3700208 4162734 5550312 7400416 8325468 11100624 16650936 22201248 33301872 66603744