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54304432 = 24713219151
BaseRepresentation
bin1100111100100…
…1111010110000
310210011221200021
43033021322300
5102400220212
65215533224
71226402650
oct317117260
9123157607
1054304432
11287207a6
121622a214
13b334700
1472d8360
154b7a307
hex33c9eb0

54304432 has 120 divisors (see below), whose sum is σ = 137967360. Its totient is φ = 20217600.

The previous prime is 54304423. The next prime is 54304433. The reversal of 54304432 is 23440345.

It is a junction number, because it is equal to n+sod(n) for n = 54304397 and 54304406.

It is not an unprimeable number, because it can be changed into a prime (54304433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359557 + ... + 359707.

It is an arithmetic number, because the mean of its divisors is an integer number (1149728).

Almost surely, 254304432 is an apocalyptic number.

54304432 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54304432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68983680).

54304432 is an abundant number, since it is smaller than the sum of its proper divisors (83662928).

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

54304432 is a wasteful number, since it uses less digits than its factorization.

54304432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 54304432 is about 7369.1540898532. The cubic root of 54304432 is about 378.6852811608.

Adding to 54304432 its reverse (23440345), we get a palindrome (77744777).

The spelling of 54304432 in words is "fifty-four million, three hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 38 52 56 76 91 104 112 133 151 152 169 182 208 247 266 302 304 338 364 494 532 604 676 728 988 1057 1064 1183 1208 1352 1456 1729 1963 1976 2114 2128 2366 2416 2704 2869 3211 3458 3926 3952 4228 4732 5738 6422 6916 7852 8456 9464 11476 12844 13741 13832 15704 16912 18928 20083 22477 22952 25519 25688 27482 27664 31408 37297 40166 44954 45904 51038 51376 54964 74594 80332 89908 102076 109928 149188 160664 178633 179816 204152 219856 261079 298376 321328 357266 359632 408304 484861 522158 596752 714532 969722 1044316 1429064 1939444 2088632 2858128 3394027 3878888 4177264 6788054 7757776 13576108 27152216 54304432