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4212704 = 25472801
BaseRepresentation
bin10000000100011111100000
321221000202002
4100010133200
52034301304
6230143132
750543636
oct20043740
97830662
104212704
112418081
1214b1aa8
13b46632
147b9356
1558331e
hex4047e0

4212704 has 24 divisors (see below), whose sum is σ = 8473248. Its totient is φ = 2060800.

The previous prime is 4212701. The next prime is 4212707. The reversal of 4212704 is 4072124.

It is an interprime number because it is at equal distance from previous prime (4212701) and next prime (4212707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212701) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 104 + ... + 2904.

It is an arithmetic number, because the mean of its divisors is an integer number (353052).

Almost surely, 24212704 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 4212704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236624).

4212704 is an abundant number, since it is smaller than the sum of its proper divisors (4260544).

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

4212704 is a wasteful number, since it uses less digits than its factorization.

4212704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 4212704 is about 2052.4872715805. The cubic root of 4212704 is about 161.5053754437.

Adding to 4212704 its reverse (4072124), we get a palindrome (8284828).

It can be divided in two parts, 421 and 2704, that added together give a 5-th power (3125 = 55).

The spelling of 4212704 in words is "four million, two hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 47 94 188 376 752 1504 2801 5602 11204 22408 44816 89632 131647 263294 526588 1053176 2106352 4212704