Search a number
-
+
4555264 = 2973141
BaseRepresentation
bin10001011000001000000000
322120102122111
4101120020000
52131232024
6241345104
753501440
oct21301000
98512574
104555264
11263148a
121638194
13c3652c
14868120
155eea94
hex458200

4555264 has 80 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 1843200.

The previous prime is 4555261. The next prime is 4555283. The reversal of 4555264 is 4625554.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4555261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111084 + ... + 111124.

Almost surely, 24555264 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 4555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

4555264 is an abundant number, since it is smaller than the sum of its proper divisors (6444032).

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

4555264 is an equidigital number, since it uses as much as digits as its factorization.

4555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 81 counting only the distinct ones).

The product of its digits is 24000, while the sum is 31.

The square root of 4555264 is about 2134.3064447262. The cubic root of 4555264 is about 165.7694578763.

The spelling of 4555264 in words is "four million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 217 224 248 256 287 328 434 448 496 512 574 656 868 896 992 1148 1271 1312 1736 1792 1984 2296 2542 2624 3472 3584 3968 4592 5084 5248 6944 7936 8897 9184 10168 10496 13888 15872 17794 18368 20336 20992 27776 35588 36736 40672 55552 71176 73472 81344 111104 142352 146944 162688 284704 325376 569408 650752 1138816 2277632 4555264