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4387840 = 2105857
BaseRepresentation
bin10000101111010000000000
322020220222121
4100233100000
52110402330
6234014024
752203352
oct20572000
98226877
104387840
112527716
121577314
13ba8272
148230d2
155ba17a
hex42f400

4387840 has 44 divisors (see below), whose sum is σ = 10537956. Its totient is φ = 1753088.

The previous prime is 4387837. The next prime is 4387847. The reversal of 4387840 is 487834.

It can be written as a sum of positive squares in 2 ways, for example, as 2985984 + 1401856 = 1728^2 + 1184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4387796 and 4387805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4387847) 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 3 ways as a sum of consecutive naturals, for example, 4692 + ... + 5548.

It is an arithmetic number, because the mean of its divisors is an integer number (239499).

Almost surely, 24387840 is an apocalyptic number.

4387840 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 4387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5268978).

4387840 is an abundant number, since it is smaller than the sum of its proper divisors (6150116).

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

4387840 is an equidigital number, since it uses as much as digits as its factorization.

4387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 4387840 is about 2094.7171646788. The cubic root of 4387840 is about 163.7131611087.

The spelling of 4387840 in words is "four million, three hundred eighty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 857 1024 1280 1714 2560 3428 4285 5120 6856 8570 13712 17140 27424 34280 54848 68560 109696 137120 219392 274240 438784 548480 877568 1096960 2193920 4387840