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66887424 = 28339677
BaseRepresentation
bin1111111100100…
…1111100000000
311122212020022000
43333021330000
5114110344144
610345344000
71441351032
oct377117400
9148766260
1066887424
113483556a
121a498000
1310b1bb76
148c51c52
155d13769
hex3fc9f00

66887424 has 72 divisors (see below), whose sum is σ = 197818320. Its totient is φ = 22293504.

The previous prime is 66887419. The next prime is 66887449. The reversal of 66887424 is 42478866.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66887424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2074 + ... + 11750.

Almost surely, 266887424 is an apocalyptic number.

66887424 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66887424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98909160).

66887424 is an abundant number, since it is smaller than the sum of its proper divisors (130930896).

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

66887424 is an equidigital number, since it uses as much as digits as its factorization.

66887424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9702 (or 9682 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 66887424 is about 8178.4732071457. The cubic root of 66887424 is about 405.9272034948.

The spelling of 66887424 in words is "sixty-six million, eight hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 9677 19354 29031 38708 58062 77416 87093 116124 154832 174186 232248 261279 309664 348372 464496 522558 619328 696744 928992 1045116 1238656 1393488 1857984 2090232 2477312 2786976 3715968 4180464 5573952 7431936 8360928 11147904 16721856 22295808 33443712 66887424