Search a number
-
+
5562432 = 26342937
BaseRepresentation
bin10101001110000001000000
3101110121020000
4111032001000
52410444212
6315120000
765165001
oct25160100
911417200
105562432
11315a157
121a43000
1311c9aa5
14a4b1a8
1574d1dc
hex54e040

5562432 has 140 divisors (see below), whose sum is σ = 17518380. Its totient is φ = 1741824.

The previous prime is 5562419. The next prime is 5562433. The reversal of 5562432 is 2342655.

5562432 is a `hidden beast` number, since 5 + 5 + 624 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4064256 + 1498176 = 2016^2 + 1224^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (7200) is a multiple of the sum of its prime factors (90).

It is a junction number, because it is equal to n+sod(n) for n = 5562396 and 5562405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5562433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150318 + ... + 150354.

Almost surely, 25562432 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 5562432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759190).

5562432 is an abundant number, since it is smaller than the sum of its proper divisors (11955948).

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

5562432 is a wasteful number, since it uses less digits than its factorization.

5562432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 5562432 is about 2358.4808669989. The cubic root of 5562432 is about 177.1828045283.

The spelling of 5562432 in words is "five million, five hundred sixty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 37 48 54 58 64 72 74 81 87 96 108 111 116 144 148 162 174 192 216 222 232 261 288 296 324 333 348 432 444 464 522 576 592 648 666 696 783 864 888 928 999 1044 1073 1184 1296 1332 1392 1566 1728 1776 1856 1998 2088 2146 2349 2368 2592 2664 2784 2997 3132 3219 3552 3996 4176 4292 4698 5184 5328 5568 5994 6264 6438 7104 7992 8352 8584 9396 9657 10656 11988 12528 12876 15984 16704 17168 18792 19314 21312 23976 25056 25752 28971 31968 34336 37584 38628 47952 50112 51504 57942 63936 68672 75168 77256 86913 95904 103008 115884 150336 154512 173826 191808 206016 231768 309024 347652 463536 618048 695304 927072 1390608 1854144 2781216 5562432