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54290432 = 21172541
BaseRepresentation
bin1100111100011…
…0100000000000
310210011020110202
43033012200000
5102344243212
65215344332
71226314100
oct317064000
9123136422
1054290432
1128711229
12162220a8
13b32b221
1472d3200
154b760c2
hex33c6800

54290432 has 72 divisors (see below), whose sum is σ = 126510930. Its totient is φ = 23224320.

The previous prime is 54290399. The next prime is 54290441. The reversal of 54290432 is 23409245.

It can be written as a sum of positive squares in only one way, i.e., 48219136 + 6071296 = 6944^2 + 2464^2 .

It is a junction number, because it is equal to n+sod(n) for n = 54290395 and 54290404.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100082 + ... + 100622.

Almost surely, 254290432 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 54290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63255465).

54290432 is an abundant number, since it is smaller than the sum of its proper divisors (72220498).

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

54290432 is an equidigital number, since it uses as much as digits as its factorization.

54290432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 54290432 is about 7368.2041231225. The cubic root of 54290432 is about 378.6527359375.

Adding to 54290432 its reverse (23409245), we get a palindrome (77699677).

The spelling of 54290432 in words is "fifty-four million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 541 784 896 1024 1082 1568 1792 2048 2164 3136 3584 3787 4328 6272 7168 7574 8656 12544 14336 15148 17312 25088 26509 30296 34624 50176 53018 60592 69248 100352 106036 121184 138496 212072 242368 276992 424144 484736 553984 848288 969472 1107968 1696576 1938944 3393152 3877888 6786304 7755776 13572608 27145216 54290432