Search a number
-
+
4901100 = 2235217312
BaseRepresentation
bin10010101100100011101100
3100020000001020
4102230203230
52223313400
6253014140
756441631
oct22544354
910200036
104901100
1128482a6
121784350
131027a79
14918188
1566c2a0
hex4ac8ec

4901100 has 108 divisors (see below), whose sum is σ = 15514632. Its totient is φ = 1190400.

The previous prime is 4901089. The next prime is 4901101. The reversal of 4901100 is 11094.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4901100.

It is not an unprimeable number, because it can be changed into a prime (4901101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 158085 + ... + 158115.

It is an arithmetic number, because the mean of its divisors is an integer number (143654).

Almost surely, 24901100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4901100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757316).

4901100 is an abundant number, since it is smaller than the sum of its proper divisors (10613532).

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

4901100 is a wasteful number, since it uses less digits than its factorization.

4901100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 4901100 is about 2213.8428128483. The cubic root of 4901100 is about 169.8626341316.

Adding to 4901100 its reverse (11094), we get a palindrome (4912194).

The spelling of 4901100 in words is "four million, nine hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 31 34 50 51 60 62 68 75 85 93 100 102 124 150 155 170 186 204 255 300 310 340 372 425 465 510 527 620 775 850 930 961 1020 1054 1275 1550 1581 1700 1860 1922 2108 2325 2550 2635 2883 3100 3162 3844 4650 4805 5100 5270 5766 6324 7905 9300 9610 10540 11532 13175 14415 15810 16337 19220 24025 26350 28830 31620 32674 39525 48050 49011 52700 57660 65348 72075 79050 81685 96100 98022 144150 158100 163370 196044 245055 288300 326740 408425 490110 816850 980220 1225275 1633700 2450550 4901100