4900 has 27 divisors (see below), whose sum is σ = 12369. Its totient is φ = 1680.

The previous prime is 4889. The next prime is 4903. The reversal of 4900 is 94.

Adding to 4900 its sum of digits (13), we get a cube (4913 = 17^{3}).

Multipling 4900 by its product of nonzero digits (36), we get a square (176400 = 420^{2}).

Adding to 4900 its reverse (94), we get a palindrome (4994).

It can be divided in two parts, 4 and 900, that multiplied together give a square (3600 = 60^{2}).

4900 = T_{69} + T_{70}.

4900 = 1^{2} + 2^{2} + ... + 24^{2}.

It is a happy number.

The square root of 4900 is 70.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1764 + 3136 = 42^2 + 56^2 .

It is an Ulam number.

It is a plaindrome in base 8 and base 13.

It is a nialpdrome in base 9.

It is a zygodrome in base 8, base 9 and base 13.

It is not an unprimeable number, because it can be changed into a prime (4903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 697 + ... + 703.

2^{4900} is an apocalyptic number.

4900 is the 70-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4900

4900 is an abundant number, since it is smaller than the sum of its proper divisors (7469).

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

4900 is a wasteful number, since it uses less digits than its factorization.

4900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The cubic root of 4900 is about 16.9849925224.

The spelling of 4900 in words is "four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900

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