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4941840 = 243559349
BaseRepresentation
bin10010110110100000010000
3100022001221010
4102312200100
52231114330
6253530520
760001461
oct22664020
910261833
104941840
112875972
1217a3a40
131040487
14928d68
156793b0
hex4b6810

4941840 has 80 divisors (see below), whose sum is σ = 15624000. Its totient is φ = 1291776.

The previous prime is 4941821. The next prime is 4941847. The reversal of 4941840 is 481494.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4941798 and 4941807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4941847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13986 + ... + 14334.

It is an arithmetic number, because the mean of its divisors is an integer number (195300).

Almost surely, 24941840 is an apocalyptic number.

4941840 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 4941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812000).

4941840 is an abundant number, since it is smaller than the sum of its proper divisors (10682160).

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

4941840 is a wasteful number, since it uses less digits than its factorization.

4941840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4941840 is about 2223.0249661216. The cubic root of 4941840 is about 170.3319925225.

The spelling of 4941840 in words is "four million, nine hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 349 354 472 590 698 708 885 944 1047 1180 1396 1416 1745 1770 2094 2360 2792 2832 3490 3540 4188 4720 5235 5584 6980 7080 8376 10470 13960 14160 16752 20591 20940 27920 41182 41880 61773 82364 83760 102955 123546 164728 205910 247092 308865 329456 411820 494184 617730 823640 988368 1235460 1647280 2470920 4941840