Search a number
-
+
49811100 = 22352237219
BaseRepresentation
bin1011111000000…
…0111010011100
310110201122222120
42332000322130
5100222423400
64535342540
71143246603
oct276007234
9113648876
1049811100
11261318a9
1214821a50
13a420431
146888a3a
15458dca0
hex2f80e9c

49811100 has 72 divisors (see below), whose sum is σ = 150407040. Its totient is φ = 12703680.

The previous prime is 49811089. The next prime is 49811107. The reversal of 49811100 is 111894.

49811100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×498111002 = 4962291366420000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49811107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3291 + ... + 10509.

Almost surely, 249811100 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 49811100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75203520).

49811100 is an abundant number, since it is smaller than the sum of its proper divisors (100595940).

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

49811100 is a wasteful number, since it uses less digits than its factorization.

49811100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7259 (or 7252 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

The square root of 49811100 is about 7057.6979249611. The cubic root of 49811100 is about 367.9386220098.

Adding to 49811100 its reverse (111894), we get a palindrome (49922994).

The spelling of 49811100 in words is "forty-nine million, eight hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 7219 14438 21657 28876 36095 43314 72190 86628 108285 144380 166037 180475 216570 332074 360950 433140 498111 541425 664148 721900 830185 996222 1082850 1660370 1992444 2165700 2490555 3320740 4150925 4981110 8301850 9962220 12452775 16603700 24905550 49811100