Search a number
-
+
4212376 = 2371937107
BaseRepresentation
bin10000000100011010011000
321221000021221
4100010122120
52034244001
6230141424
750542660
oct20043230
97830257
104212376
112417903
1214b1874
13b4643c
147b91a0
155831a1
hex404698

4212376 has 64 divisors (see below), whose sum is σ = 9849600. Its totient is φ = 1648512.

The previous prime is 4212371. The next prime is 4212401. The reversal of 4212376 is 6732124.

It is a super-2 number, since 2×42123762 = 35488223130752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4212376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39315 + ... + 39421.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 24212376 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 4212376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4924800).

4212376 is an abundant number, since it is smaller than the sum of its proper divisors (5637224).

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

4212376 is a wasteful number, since it uses less digits than its factorization.

4212376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 172 counting only the distinct ones).

The product of its digits is 2016, while the sum is 25.

The square root of 4212376 is about 2052.4073669718. The cubic root of 4212376 is about 161.5011837466.

The spelling of 4212376 in words is "four million, two hundred twelve thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 19 28 37 38 56 74 76 107 133 148 152 214 259 266 296 428 518 532 703 749 856 1036 1064 1406 1498 2033 2072 2812 2996 3959 4066 4921 5624 5992 7918 8132 9842 14231 15836 16264 19684 27713 28462 31672 39368 55426 56924 75221 110852 113848 150442 221704 300884 526547 601768 1053094 2106188 4212376