Search a number
-
+
4947100 = 225261811
BaseRepresentation
bin10010110111110010011100
3100022100010221
4102313302130
52231301400
6254011124
760023014
oct22676234
910270127
104947100
112879914
1217a6aa4
1310429a2
1492ac44
1567ac1a
hex4b7c9c

4947100 has 36 divisors (see below), whose sum is σ = 10924648. Its totient is φ = 1944000.

The previous prime is 4947083. The next prime is 4947109. The reversal of 4947100 is 17494.

It is a super-3 number, since 3×49471003 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4947109) 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 11 ways as a sum of consecutive naturals, for example, 5695 + ... + 6505.

Almost surely, 24947100 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 4947100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462324).

4947100 is an abundant number, since it is smaller than the sum of its proper divisors (5977548).

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

4947100 is a wasteful number, since it uses less digits than its factorization.

4947100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4947100 is about 2224.2077241121. The cubic root of 4947100 is about 170.3924037993.

The spelling of 4947100 in words is "four million, nine hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 811 1220 1525 1622 3050 3244 4055 6100 8110 16220 20275 40550 49471 81100 98942 197884 247355 494710 989420 1236775 2473550 4947100