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54030432 = 253717927
BaseRepresentation
bin1100111000011…
…1000001100000
310202200000211010
43032013001200
5102312433212
65210020520
71224152061
oct316070140
9122600733
1054030432
1128553955
1216117740
13b269a91
147266568
154b2403c
hex3387060

54030432 has 48 divisors (see below), whose sum is σ = 143845632. Its totient is φ = 17754240.

The previous prime is 54030419. The next prime is 54030443. The reversal of 54030432 is 23403045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 54030399 and 54030408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2853 + ... + 10779.

It is an arithmetic number, because the mean of its divisors is an integer number (2996784).

Almost surely, 254030432 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 54030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71922816).

54030432 is an abundant number, since it is smaller than the sum of its proper divisors (89815200).

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

54030432 is a wasteful number, since it uses less digits than its factorization.

54030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 8003 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 54030432 is about 7350.5395720314. The cubic root of 54030432 is about 378.0473051852.

Adding to 54030432 its reverse (23403045), we get a palindrome (77433477).

It can be divided in two parts, 5403043 and 2, that added together give a palindrome (5403045).

The spelling of 54030432 in words is "fifty-four million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 6816 7927 15854 23781 31708 47562 63416 95124 126832 190248 253664 380496 562817 760992 1125634 1688451 2251268 3376902 4502536 6753804 9005072 13507608 18010144 27015216 54030432