Search a number
-
+
4103244200 = 2352117923609
BaseRepresentation
bin1111010010010010…
…1000100110101000
3101120221222101212102
43310210220212220
531400412303300
61515054432532
7203453000036
oct36444504650
911527871772
104103244200
1118161a1110
12966202748
1350512ca63
142acd4b556
1519036b0d5
hexf49289a8

4103244200 has 96 divisors (see below), whose sum is σ = 10539504000. Its totient is φ = 1473139200.

The previous prime is 4103244193. The next prime is 4103244203. The reversal of 4103244200 is 24423014.

It is a super-2 number, since 2×41032442002 = 33673225929667280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (4103244203) 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, 161996 + ... + 185604.

It is an arithmetic number, because the mean of its divisors is an integer number (109786500).

Almost surely, 24103244200 is an apocalyptic number.

4103244200 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 4103244200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5269752000).

4103244200 is an abundant number, since it is smaller than the sum of its proper divisors (6436259800).

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

4103244200 is a wasteful number, since it uses less digits than its factorization.

4103244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23715 (or 23706 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4103244200 is about 64056.5703109369. The cubic root of 4103244200 is about 1600.9426996726.

Adding to 4103244200 its reverse (24423014), we get a palindrome (4127667214).

The spelling of 4103244200 in words is "four billion, one hundred three million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 79 88 100 110 158 200 220 275 316 395 440 550 632 790 869 1100 1580 1738 1975 2200 3160 3476 3950 4345 6952 7900 8690 15800 17380 21725 23609 34760 43450 47218 86900 94436 118045 173800 188872 236090 259699 472180 519398 590225 944360 1038796 1180450 1298495 1865111 2077592 2360900 2596990 3730222 4721800 5193980 6492475 7460444 9325555 10387960 12984950 14920888 18651110 20516221 25969900 37302220 41032442 46627775 51939800 74604440 82064884 93255550 102581105 164129768 186511100 205162210 373022200 410324420 512905525 820648840 1025811050 2051622100 4103244200