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66830448 = 24319127577
BaseRepresentation
bin1111111011110…
…0000001110000
311122202100010210
43332330001300
5114102033243
610344224120
71441022646
oct376740160
9148670123
1066830448
11347a6783
121a46b040
1310acbc59
148c39196
155d01933
hex3fbc070

66830448 has 80 divisors (see below), whose sum is σ = 183480320. Its totient is φ = 20901888.

The previous prime is 66830447. The next prime is 66830453. The reversal of 66830448 is 84403866.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66830443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115536 + ... + 116112.

It is an arithmetic number, because the mean of its divisors is an integer number (2293504).

Almost surely, 266830448 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 66830448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91740160).

66830448 is an abundant number, since it is smaller than the sum of its proper divisors (116649872).

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

66830448 is a wasteful number, since it uses less digits than its factorization.

66830448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 66830448 is about 8174.9891743048. The cubic root of 66830448 is about 405.8119118746.

The spelling of 66830448 in words is "sixty-six million, eight hundred thirty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 127 152 228 254 304 381 456 508 577 762 912 1016 1154 1524 1731 2032 2308 2413 3048 3462 4616 4826 6096 6924 7239 9232 9652 10963 13848 14478 19304 21926 27696 28956 32889 38608 43852 57912 65778 73279 87704 115824 131556 146558 175408 219837 263112 293116 439674 526224 586232 879348 1172464 1392301 1758696 2784602 3517392 4176903 5569204 8353806 11138408 16707612 22276816 33415224 66830448