Search a number
-
+
4285032 = 233199397
BaseRepresentation
bin10000010110001001101000
322001200221220
4100112021220
52044110112
6231502040
751264543
oct20261150
98050856
104285032
112467454
121527920
13b7052b
147d785a
1559998c
hex416268

4285032 has 32 divisors (see below), whose sum is σ = 11277600. Its totient is φ = 1353024.

The previous prime is 4285019. The next prime is 4285049. The reversal of 4285032 is 2305824.

It is a super-2 number, since 2×42850322 = 36722998482048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4284993 and 4285011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4243 + ... + 5154.

It is an arithmetic number, because the mean of its divisors is an integer number (352425).

Almost surely, 24285032 is an apocalyptic number.

It is an amenable number.

4285032 is an abundant number, since it is smaller than the sum of its proper divisors (6992568).

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

4285032 is a wasteful number, since it uses less digits than its factorization.

4285032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425 (or 9421 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4285032 is about 2070.0318838124. The cubic root of 4285032 is about 162.4244319248.

It can be divided in two parts, 428 and 5032, that added together give a triangular number (5460 = T104).

The spelling of 4285032 in words is "four million, two hundred eighty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 9397 18794 28191 37588 56382 75176 112764 178543 225528 357086 535629 714172 1071258 1428344 2142516 4285032