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4678940 = 2257191759
BaseRepresentation
bin10001110110010100011100
322210201022002
4101312110130
52144211230
6244141432
754525140
oct21662434
98721262
104678940
1127063a2
121697878
13c7a906
1489b220
15626545
hex47651c

4678940 has 48 divisors (see below), whose sum is σ = 11827200. Its totient is φ = 1518912.

The previous prime is 4678939. The next prime is 4678943. The reversal of 4678940 is 498764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4678894 and 4678903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4678943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1781 + ... + 3539.

It is an arithmetic number, because the mean of its divisors is an integer number (246400).

Almost surely, 24678940 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 4678940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913600).

4678940 is an abundant number, since it is smaller than the sum of its proper divisors (7148260).

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

4678940 is a wasteful number, since it uses less digits than its factorization.

4678940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 4678940 is about 2163.0857588177. The cubic root of 4678940 is about 167.2563026277.

The spelling of 4678940 in words is "four million, six hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 1759 2660 3518 7036 8795 12313 17590 24626 33421 35180 49252 61565 66842 123130 133684 167105 233947 246260 334210 467894 668420 935788 1169735 2339470 4678940