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4785040 = 2451343107
BaseRepresentation
bin10010010000001110010000
3100000002211201
4102100032100
52211110130
6250320544
755446361
oct22201620
910002751
104785040
112779087
121729154
13cb6cb0
148c7b68
15647bca
hex490390

4785040 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 1709568.

The previous prime is 4785031. The next prime is 4785043. The reversal of 4785040 is 405874.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4785043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44667 + ... + 44773.

Almost surely, 24785040 is an apocalyptic number.

4785040 is a gapful number since it is divisible by the number (40) 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 4785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

4785040 is an abundant number, since it is smaller than the sum of its proper divisors (7589168).

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

4785040 is a wasteful number, since it uses less digits than its factorization.

4785040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 4785040 is about 2187.4734284100. The cubic root of 4785040 is about 168.5111041178.

The spelling of 4785040 in words is "four million, seven hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 107 130 172 208 214 215 260 344 428 430 520 535 559 688 856 860 1040 1070 1118 1391 1712 1720 2140 2236 2782 2795 3440 4280 4472 4601 5564 5590 6955 8560 8944 9202 11128 11180 13910 18404 22256 22360 23005 27820 36808 44720 46010 55640 59813 73616 92020 111280 119626 184040 239252 299065 368080 478504 598130 957008 1196260 2392520 4785040