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4050100 = 2252101401
BaseRepresentation
bin1111011100110010110100
321121202200201
433130302310
52014100400
6222450244
746265605
oct17346264
97552621
104050100
11231699a
121433984
13aba612
14775dac
1555006a
hex3dccb4

4050100 has 36 divisors (see below), whose sum is σ = 8897868. Its totient is φ = 1600000.

The previous prime is 4050089. The next prime is 4050121. The reversal of 4050100 is 10504.

It can be written as a sum of positive squares in 6 ways, for example, as 910116 + 3139984 = 954^2 + 1772^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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, 9900 + ... + 10300.

It is an arithmetic number, because the mean of its divisors is an integer number (247163).

Almost surely, 24050100 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 4050100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448934).

4050100 is an abundant number, since it is smaller than the sum of its proper divisors (4847768).

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

4050100 is a wasteful number, since it uses less digits than its factorization.

4050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 4050100 is about 2012.4860247962. The cubic root of 4050100 is about 159.4000972908.

Adding to 4050100 its reverse (10504), we get a palindrome (4060604).

The spelling of 4050100 in words is "four million, fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 401 404 505 802 1010 1604 2005 2020 2525 4010 5050 8020 10025 10100 20050 40100 40501 81002 162004 202505 405010 810020 1012525 2025050 4050100