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4785966 = 23431953
BaseRepresentation
bin10010010000011100101110
3100000011010000
4102100130232
52211122331
6250325130
755452153
oct22203456
910004100
104785966
112779849
1217297a6
13cb7543
148c822a
156480e6
hex49072e

4785966 has 40 divisors (see below), whose sum is σ = 11081664. Its totient is φ = 1542240.

The previous prime is 4785961. The next prime is 4786007. The reversal of 4785966 is 6695874.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4785961) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4546 + ... + 5498.

Almost surely, 24785966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4785966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540832).

4785966 is an abundant number, since it is smaller than the sum of its proper divisors (6295698).

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

4785966 is a wasteful number, since it uses less digits than its factorization.

4785966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4785966 is about 2187.6850778848. The cubic root of 4785966 is about 168.5219734953.

The spelling of 4785966 in words is "four million, seven hundred eighty-five thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 953 1674 1906 2511 2859 5022 5718 8577 17154 25731 29543 51462 59086 77193 88629 154386 177258 265887 531774 797661 1595322 2392983 4785966