Search a number
-
+
4266432 = 2634823
BaseRepresentation
bin10000010001100111000000
322000202110000
4100101213000
52043011212
6231240000
751156402
oct20214700
98022400
104266432
112454485
121519000
13b64c21
147d0b72
155941dc
hex4119c0

4266432 has 70 divisors (see below), whose sum is σ = 12662408. Its totient is φ = 1420416.

The previous prime is 4266397. The next prime is 4266443. The reversal of 4266432 is 2346624.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a junction number, because it is equal to n+sod(n) for n = 4266396 and 4266405.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 4773 + ... + 5595.

Almost surely, 24266432 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 4266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331204).

4266432 is an abundant number, since it is smaller than the sum of its proper divisors (8395976).

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

4266432 is an equidigital number, since it uses as much as digits as its factorization.

4266432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 828 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4266432 is about 2065.5343134405. The cubic root of 4266432 is about 162.1890796398.

The spelling of 4266432 in words is "four million, two hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 823 864 1296 1646 1728 2469 2592 3292 4938 5184 6584 7407 9876 13168 14814 19752 22221 26336 29628 39504 44442 52672 59256 66663 79008 88884 118512 133326 158016 177768 237024 266652 355536 474048 533304 711072 1066608 1422144 2133216 4266432