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4940243200 = 28521940627
BaseRepresentation
bin1001001100111011…
…00010000100000000
3110202021221100122101
410212131202010000
540104200240300
62134114320144
7233265242254
oct44635420400
913667840571
104940243200
112105702922
12b5a589054
13609668539
1434c188264
151ddaa0b6a
hex126762100

4940243200 has 108 divisors (see below), whose sum is σ = 12871762960. Its totient is φ = 1872046080.

The previous prime is 4940243167. The next prime is 4940243221. The reversal of 4940243200 is 23420494.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101287 + ... + 141913.

Almost surely, 24940243200 is an apocalyptic number.

4940243200 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 4940243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435881480).

4940243200 is an abundant number, since it is smaller than the sum of its proper divisors (7931519760).

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

4940243200 is a wasteful number, since it uses less digits than its factorization.

4940243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40672 (or 40653 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 4940243200 is about 70286.8636375248. The cubic root of 4940243200 is about 1703.1364473938.

Adding to 4940243200 its reverse (23420494), we get a palindrome (4963663694).

The spelling of 4940243200 in words is "four billion, nine hundred forty million, two hundred forty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 256 304 320 380 400 475 608 640 760 800 950 1216 1280 1520 1600 1900 2432 3040 3200 3800 4864 6080 6400 7600 12160 15200 24320 30400 40627 60800 81254 121600 162508 203135 325016 406270 650032 771913 812540 1015675 1300064 1543826 1625080 2031350 2600128 3087652 3250160 3859565 4062700 5200256 6175304 6500320 7719130 8125400 10400512 12350608 13000640 15438260 16250800 19297825 24701216 26001280 30876520 32501600 38595650 49402432 52002560 61753040 65003200 77191300 98804864 123506080 130006400 154382600 197609728 247012160 260012800 308765200 494024320 617530400 988048640 1235060800 2470121600 4940243200