Search a number
-
+
4256032 = 2511107113
BaseRepresentation
bin10000001111000100100000
322000020011211
4100033010200
52042143112
6231115504
751114154
oct20170440
98006154
104256032
112447690
121512b94
13b60281
147cb064
155910a7
hex40f120

4256032 has 48 divisors (see below), whose sum is σ = 9307872. Its totient is φ = 1899520.

The previous prime is 4256029. The next prime is 4256051. The reversal of 4256032 is 2306524.

It is a happy number.

It is a super-2 number, since 2×42560322 = 36227616770048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 45 + 210 + 54 + 6 + 0 + 310 + 222 .

It is a junction number, because it is equal to n+sod(n) for n = 4255994 and 4256012.

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 7 ways as a sum of consecutive naturals, for example, 37608 + ... + 37720.

It is an arithmetic number, because the mean of its divisors is an integer number (193914).

Almost surely, 24256032 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 4256032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4653936).

4256032 is an abundant number, since it is smaller than the sum of its proper divisors (5051840).

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

4256032 is a wasteful number, since it uses less digits than its factorization.

4256032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 4256032 is about 2063.0152689692. The cubic root of 4256032 is about 162.0571865372.

It can be divided in two parts, 4 and 256032, that added together give a square (256036 = 5062).

The spelling of 4256032 in words is "four million, two hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 107 113 176 214 226 352 428 452 856 904 1177 1243 1712 1808 2354 2486 3424 3616 4708 4972 9416 9944 12091 18832 19888 24182 37664 39776 48364 96728 133001 193456 266002 386912 532004 1064008 2128016 4256032