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66523424 = 2511474021
BaseRepresentation
bin1111110111000…
…1000100100000
311122011201222112
43331301010200
5114012222144
610333454452
71435303562
oct375610440
9148151875
1066523424
1134607040
121a341428
1310a22296
148b99332
155c9099e
hex3f71120

66523424 has 48 divisors (see below), whose sum is σ = 145950336. Its totient is φ = 29587200.

The previous prime is 66523423. The next prime is 66523453. The reversal of 66523424 is 42432566.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66523423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14534 + ... + 18554.

It is an arithmetic number, because the mean of its divisors is an integer number (3040632).

Almost surely, 266523424 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 66523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72975168).

66523424 is an abundant number, since it is smaller than the sum of its proper divisors (79426912).

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

66523424 is a wasteful number, since it uses less digits than its factorization.

66523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4081 counting only the distinct ones).

The product of its digits is 34560, while the sum is 32.

The square root of 66523424 is about 8156.1893062876. The cubic root of 66523424 is about 405.1895145162.

The spelling of 66523424 in words is "sixty-six million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 1034 1504 2068 4021 4136 8042 8272 16084 16544 32168 44231 64336 88462 128672 176924 188987 353848 377974 707696 755948 1415392 1511896 2078857 3023792 4157714 6047584 8315428 16630856 33261712 66523424