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66243744 = 253571217
BaseRepresentation
bin1111110010110…
…0110010100000
311121122112100000
43330230302200
5113424244434
610323500000
71433030310
oct374546240
9147575300
1066243744
11344359a6
121a227600
1310954ba8
148b25440
155c37b99
hex3f2cca0

66243744 has 144 divisors (see below), whose sum is σ = 223449408. Its totient is φ = 18911232.

The previous prime is 66243739. The next prime is 66243763. The reversal of 66243744 is 44734266.

66243744 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 (144).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66243699 and 66243708.

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 23 ways as a sum of consecutive naturals, for example, 53824 + ... + 55040.

It is an arithmetic number, because the mean of its divisors is an integer number (1551732).

Almost surely, 266243744 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 66243744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111724704).

66243744 is an abundant number, since it is smaller than the sum of its proper divisors (157205664).

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

66243744 is a wasteful number, since it uses less digits than its factorization.

66243744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 66243744 is about 8139.0259859519. The cubic root of 66243744 is about 404.6208797845.

The spelling of 66243744 in words is "sixty-six million, two hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1217 1296 1512 1701 1944 2016 2268 2434 2592 3024 3402 3651 3888 4536 4868 6048 6804 7302 7776 8519 9072 9736 10953 13608 14604 17038 18144 19472 21906 25557 27216 29208 32859 34076 38944 43812 51114 54432 58416 65718 68152 76671 87624 98577 102228 116832 131436 136304 153342 175248 197154 204456 230013 262872 272608 295731 306684 350496 394308 408912 460026 525744 591462 613368 690039 788616 817824 920052 1051488 1182924 1226736 1380078 1577232 1840104 2070117 2365848 2453472 2760156 3154464 3680208 4140234 4731696 5520312 7360416 8280468 9463392 11040624 16560936 22081248 33121872 66243744