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4212104 = 2313101401
BaseRepresentation
bin10000000100010110001000
321220222220212
4100010112020
52034241404
6230140252
750542121
oct20042610
97828825
104212104
112417686
1214b1688
13b46290
147b9048
1558306e
hex404588

4212104 has 32 divisors (see below), whose sum is σ = 8610840. Its totient is φ = 1920000.

The previous prime is 4212101. The next prime is 4212113. The reversal of 4212104 is 4012124.

It can be written as a sum of positive squares in 4 ways, for example, as 4202500 + 9604 = 2050^2 + 98^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10304 + ... + 10704.

Almost surely, 24212104 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 4212104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305420).

4212104 is an abundant number, since it is smaller than the sum of its proper divisors (4398736).

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

4212104 is a wasteful number, since it uses less digits than its factorization.

4212104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 4212104 is about 2052.3411022537. The cubic root of 4212104 is about 161.4977075400.

Adding to 4212104 its reverse (4012124), we get a palindrome (8224228).

The spelling of 4212104 in words is "four million, two hundred twelve thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 101 104 202 401 404 802 808 1313 1604 2626 3208 5213 5252 10426 10504 20852 40501 41704 81002 162004 324008 526513 1053026 2106052 4212104