Search a number
-
+
5644128 = 253737227
BaseRepresentation
bin10101100001111101100000
3101121202021210
4111201331200
52421103003
6320550120
765655120
oct25417540
911552253
105644128
113205576
121a82340
131228029
14a6cc80
15767503
hex561f60

5644128 has 96 divisors (see below), whose sum is σ = 17466624. Its totient is φ = 1562112.

The previous prime is 5644127. The next prime is 5644157. The reversal of 5644128 is 8214465.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5644095 and 5644104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5644127) 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 15 ways as a sum of consecutive naturals, for example, 24751 + ... + 24977.

It is an arithmetic number, because the mean of its divisors is an integer number (181944).

Almost surely, 25644128 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 5644128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8733312).

5644128 is an abundant number, since it is smaller than the sum of its proper divisors (11822496).

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

5644128 is a wasteful number, since it uses less digits than its factorization.

5644128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 5644128 is about 2375.7373592213. The cubic root of 5644128 is about 178.0460260560.

The spelling of 5644128 in words is "five million, six hundred forty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 74 84 96 111 112 148 168 222 224 227 259 296 336 444 454 518 592 672 681 777 888 908 1036 1184 1362 1554 1589 1776 1816 2072 2724 3108 3178 3552 3632 4144 4767 5448 6216 6356 7264 8288 8399 9534 10896 12432 12712 16798 19068 21792 24864 25197 25424 33596 38136 50394 50848 58793 67192 76272 100788 117586 134384 152544 176379 201576 235172 268768 352758 403152 470344 705516 806304 940688 1411032 1881376 2822064 5644128