Search a number
-
+
5557104 = 2432737149
BaseRepresentation
bin10101001100101101110000
3101110022220200
4111030231300
52410311404
6315035200
765143320
oct25145560
911408820
105557104
113156153
121a3bb00
1311c7537
14a49280
1574b839
hex54cb70

5557104 has 120 divisors (see below), whose sum is σ = 18376800. Its totient is φ = 1534464.

The previous prime is 5557093. The next prime is 5557117. The reversal of 5557104 is 4017555.

5557104 is a `hidden beast` number, since 5 + 557 + 104 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 37222 + ... + 37370.

It is an arithmetic number, because the mean of its divisors is an integer number (153140).

Almost surely, 25557104 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 5557104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9188400).

5557104 is an abundant number, since it is smaller than the sum of its proper divisors (12819696).

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

5557104 is a wasteful number, since it uses less digits than its factorization.

5557104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 5557104 is about 2357.3510557403. The cubic root of 5557104 is about 177.1262146795.

The spelling of 5557104 in words is "five million, five hundred fifty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 37 42 48 56 63 72 74 84 111 112 126 144 148 149 168 222 252 259 296 298 333 336 444 447 504 518 592 596 666 777 888 894 1008 1036 1043 1192 1332 1341 1554 1776 1788 2072 2086 2331 2384 2664 2682 3108 3129 3576 4144 4172 4662 5328 5364 5513 6216 6258 7152 8344 9324 9387 10728 11026 12432 12516 16539 16688 18648 18774 21456 22052 25032 33078 37296 37548 38591 44104 49617 50064 66156 75096 77182 88208 99234 115773 132312 150192 154364 198468 231546 264624 308728 347319 396936 463092 617456 694638 793872 926184 1389276 1852368 2778552 5557104