Search a number
-
+
3601456 = 243153137
BaseRepresentation
bin1101101111010000110000
320202222021021
431233100300
51410221311
6205105224
742416605
oct15572060
96688237
103601456
11203a911
121258214
13991351
1469a6ac
154b2171
hex36f430

3601456 has 40 divisors (see below), whose sum is σ = 7392384. Its totient is φ = 1697280.

The previous prime is 3601447. The next prime is 3601457. The reversal of 3601456 is 6541063.

3601456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3601456.

It is not an unprimeable number, because it can be changed into a prime (3601457) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 26220 + ... + 26356.

Almost surely, 23601456 is an apocalyptic number.

3601456 is the 1096-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3601456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696192).

3601456 is an abundant number, since it is smaller than the sum of its proper divisors (3790928).

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

3601456 is a wasteful number, since it uses less digits than its factorization.

3601456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 3601456 is about 1897.7502470030. The cubic root of 3601456 is about 153.2825456666.

The spelling of 3601456 in words is "three million, six hundred one thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 53 62 106 124 137 212 248 274 424 496 548 848 1096 1643 2192 3286 4247 6572 7261 8494 13144 14522 16988 26288 29044 33976 58088 67952 116176 225091 450182 900364 1800728 3601456