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4784420 = 2252973113
BaseRepresentation
bin10010010000000100100100
3100000001222202
4102100010210
52211100140
6250314032
755444514
oct22200444
910001882
104784420
112778673
121728918
13cb6924
148c7844
15647915
hex490124

4784420 has 48 divisors (see below), whose sum is σ = 10629360. Its totient is φ = 1806336.

The previous prime is 4784419. The next prime is 4784431. The reversal of 4784420 is 244874.

It can be written as a sum of positive squares in 8 ways, for example, as 565504 + 4218916 = 752^2 + 2054^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42284 + ... + 42396.

It is an arithmetic number, because the mean of its divisors is an integer number (221445).

Almost surely, 24784420 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 4784420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5314680).

4784420 is an abundant number, since it is smaller than the sum of its proper divisors (5844940).

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

4784420 is a wasteful number, since it uses less digits than its factorization.

4784420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 29.

The square root of 4784420 is about 2187.3317078121. The cubic root of 4784420 is about 168.5038257811.

The spelling of 4784420 in words is "four million, seven hundred eighty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 73 113 116 145 146 226 290 292 365 452 565 580 730 1130 1460 2117 2260 3277 4234 6554 8249 8468 10585 13108 16385 16498 21170 32770 32996 41245 42340 65540 82490 164980 239221 478442 956884 1196105 2392210 4784420