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4780944 = 243471731
BaseRepresentation
bin10010001111001110010000
322222220020000
4102033032100
52210442234
6250250000
755431420
oct22171620
98886200
104780944
112775aa3
121726900
13cb517c
148c6480
15646899
hex48f390

4780944 has 200 divisors, whose sum is σ = 17284608. Its totient is φ = 1244160.

The previous prime is 4780943. The next prime is 4780949. The reversal of 4780944 is 4490874.

It is a super-2 number, since 2×47809442 = 45714851062272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4780899 and 4780908.

It is not an unprimeable number, because it can be changed into a prime (4780943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 154209 + ... + 154239.

Almost surely, 24780944 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 4780944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642304).

4780944 is an abundant number, since it is smaller than the sum of its proper divisors (12503664).

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

4780944 is a wasteful number, since it uses less digits than its factorization.

4780944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4780944 is about 2186.5369880247. The cubic root of 4780944 is about 168.4630084893.

The spelling of 4780944 in words is "four million, seven hundred eighty thousand, nine hundred forty-four".