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4893640 = 2351947137
BaseRepresentation
bin10010101010101111001000
3100012121210221
4102222233020
52223044030
6252515424
756411113
oct22525710
910177727
104893640
112842734
12177bb74
13102455b
1491557a
15669e7a
hex4aabc8

4893640 has 64 divisors (see below), whose sum is σ = 11923200. Its totient is φ = 1801728.

The previous prime is 4893631. The next prime is 4893643. The reversal of 4893640 is 463984.

It is a junction number, because it is equal to n+sod(n) for n = 4893596 and 4893605.

It is not an unprimeable number, because it can be changed into a prime (4893643) 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, 35652 + ... + 35788.

It is an arithmetic number, because the mean of its divisors is an integer number (186300).

Almost surely, 24893640 is an apocalyptic number.

4893640 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 4893640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961600).

4893640 is an abundant number, since it is smaller than the sum of its proper divisors (7029560).

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

4893640 is a wasteful number, since it uses less digits than its factorization.

4893640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4893640 is about 2212.1573180947. The cubic root of 4893640 is about 169.7764073172.

The spelling of 4893640 in words is "four million, eight hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 137 152 188 190 235 274 376 380 470 548 685 760 893 940 1096 1370 1786 1880 2603 2740 3572 4465 5206 5480 6439 7144 8930 10412 12878 13015 17860 20824 25756 26030 32195 35720 51512 52060 64390 104120 122341 128780 244682 257560 489364 611705 978728 1223410 2446820 4893640