Search a number
-
+
4472412 = 2237371439
BaseRepresentation
bin10001000011111001011100
322102012222220
4101003321130
52121104122
6235505340
753005050
oct21037134
98365886
104472412
11258520a
1215b8250
13c078c9
14845c60
155d525c
hex443e5c

4472412 has 48 divisors (see below), whose sum is σ = 12257280. Its totient is φ = 1242432.

The previous prime is 4472399. The next prime is 4472431. The reversal of 4472412 is 2142744.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2389 + ... + 3827.

It is an arithmetic number, because the mean of its divisors is an integer number (255360).

Almost surely, 24472412 is an apocalyptic number.

4472412 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128640).

4472412 is an abundant number, since it is smaller than the sum of its proper divisors (7784868).

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

4472412 is a wasteful number, since it uses less digits than its factorization.

4472412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1488 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 4472412 is about 2114.8077926847. The cubic root of 4472412 is about 164.7582870361.

It can be divided in two parts, 4472 and 412, that added together give a palindrome (4884).

The spelling of 4472412 in words is "four million, four hundred seventy-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1439 1554 2878 3108 4317 5756 8634 10073 17268 20146 30219 40292 53243 60438 106486 120876 159729 212972 319458 372701 638916 745402 1118103 1490804 2236206 4472412