Search a number
-
+
5604456 = 23311132371
BaseRepresentation
bin10101011000010001101000
3101112201212110
4111120101220
52413320311
6320042320
765431344
oct25302150
911481773
105604456
113188790
121a633a0
131212c60
14a5c624
1575a8a6
hex558468

5604456 has 128 divisors (see below), whose sum is σ = 17418240. Its totient is φ = 1478400.

The previous prime is 5604451. The next prime is 5604481. The reversal of 5604456 is 6544065.

It is not an unprimeable number, because it can be changed into a prime (5604451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78901 + ... + 78971.

It is an arithmetic number, because the mean of its divisors is an integer number (136080).

Almost surely, 25604456 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 5604456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8709120).

5604456 is an abundant number, since it is smaller than the sum of its proper divisors (11813784).

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

5604456 is a wasteful number, since it uses less digits than its factorization.

5604456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5604456 is about 2367.3732278625. The cubic root of 5604456 is about 177.6278890542.

The spelling of 5604456 in words is "five million, six hundred four thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 23 24 26 33 39 44 46 52 66 69 71 78 88 92 104 132 138 142 143 156 184 213 253 264 276 284 286 299 312 426 429 506 552 568 572 598 759 781 852 858 897 923 1012 1144 1196 1518 1562 1633 1704 1716 1794 1846 2024 2343 2392 2769 3036 3124 3266 3289 3432 3588 3692 4686 4899 5538 6072 6248 6532 6578 7176 7384 9372 9798 9867 10153 11076 13064 13156 17963 18744 19596 19734 20306 21229 22152 26312 30459 35926 39192 39468 40612 42458 53889 60918 63687 71852 78936 81224 84916 107778 121836 127374 143704 169832 215556 233519 243672 254748 431112 467038 509496 700557 934076 1401114 1868152 2802228 5604456