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4941000 = 23345361
BaseRepresentation
bin10010110110010011001000
3100022000210000
4102312103020
52231103000
6253523000
756666151
oct22662310
910260700
104941000
112875279
1217a3460
13103cc8c
14928928
15679000
hex4b64c8

4941000 has 160 divisors (see below), whose sum is σ = 17554680. Its totient is φ = 1296000.

The previous prime is 4940983. The next prime is 4941043. The reversal of 4941000 is 1494.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 4588164 = 594^2 + 2142^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80970 + ... + 81030.

Almost surely, 24941000 is an apocalyptic number.

4941000 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 4941000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8777340).

4941000 is an abundant number, since it is smaller than the sum of its proper divisors (12613680).

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

4941000 is a wasteful number, since it uses less digits than its factorization.

4941000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4941000 is about 2222.8360263411. The cubic root of 4941000 is about 170.3223411254.

Adding to 4941000 its reverse (1494), we get a palindrome (4942494).

The spelling of 4941000 in words is "four million, nine hundred forty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 61 72 75 81 90 100 108 120 122 125 135 150 162 180 183 200 216 225 244 250 270 300 305 324 360 366 375 405 450 488 500 540 549 600 610 648 675 732 750 810 900 915 1000 1080 1098 1125 1220 1350 1464 1500 1525 1620 1647 1800 1830 2025 2196 2250 2440 2700 2745 3000 3050 3240 3294 3375 3660 4050 4392 4500 4575 4941 5400 5490 6100 6588 6750 7320 7625 8100 8235 9000 9150 9882 10125 10980 12200 13176 13500 13725 15250 16200 16470 18300 19764 20250 21960 22875 24705 27000 27450 30500 32940 36600 39528 40500 41175 45750 49410 54900 61000 65880 68625 81000 82350 91500 98820 109800 123525 137250 164700 183000 197640 205875 247050 274500 329400 411750 494100 549000 617625 823500 988200 1235250 1647000 2470500 4941000