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66828400 = 2452167071
BaseRepresentation
bin1111111011101…
…1100001110000
311122202020022221
43332323201300
5114102002100
610344210424
71441013662
oct376734160
9148666287
1066828400
11347a5191
121a469a14
1310acb042
148c38532
155d0101a
hex3fbb870

66828400 has 30 divisors (see below), whose sum is σ = 160556192. Its totient is φ = 26731200.

The previous prime is 66828371. The next prime is 66828431. The reversal of 66828400 is 482866.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83136 + ... + 83935.

Almost surely, 266828400 is an apocalyptic number.

It is an amenable number.

66828400 is an abundant number, since it is smaller than the sum of its proper divisors (93727792).

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

66828400 is a wasteful number, since it uses less digits than its factorization.

66828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167089 (or 167078 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 66828400 is about 8174.8639132404. The cubic root of 66828400 is about 405.8077665022.

The spelling of 66828400 in words is "sixty-six million, eight hundred twenty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 167071 334142 668284 835355 1336568 1670710 2673136 3341420 4176775 6682840 8353550 13365680 16707100 33414200 66828400