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4946040 = 23325111249
BaseRepresentation
bin10010110111100001111000
3100022021200200
4102313201320
52231233130
6254002200
760016641
oct22674170
910267620
104946040
112879040
1217a6360
131042368
1492a6c8
1567a760
hex4b7878

4946040 has 96 divisors (see below), whose sum is σ = 17550000. Its totient is φ = 1198080.

The previous prime is 4946033. The next prime is 4946041. The reversal of 4946040 is 406494.

4946040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4945995 and 4946013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4946041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3336 + ... + 4584.

Almost surely, 24946040 is an apocalyptic number.

4946040 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 4946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775000).

4946040 is an abundant number, since it is smaller than the sum of its proper divisors (12603960).

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

4946040 is a wasteful number, since it uses less digits than its factorization.

4946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4946040 is about 2223.9694242503. The cubic root of 4946040 is about 170.3802331101.

The spelling of 4946040 in words is "four million, nine hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1249 1320 1980 2498 3747 3960 4996 6245 7494 9992 11241 12490 13739 14988 18735 22482 24980 27478 29976 37470 41217 44964 49960 54956 56205 68695 74940 82434 89928 109912 112410 123651 137390 149880 164868 206085 224820 247302 274780 329736 412170 449640 494604 549560 618255 824340 989208 1236510 1648680 2473020 4946040