Search a number
-
+
53454416 = 2431472293
BaseRepresentation
bin1100101111101…
…0011001010000
310201120202200012
43023322121100
5102141020131
65145414052
71216232531
oct313723120
9121522605
1053454416
11281a0104
1215a9a328
13b0c7842
147156688
154a5d52b
hex32fa650

53454416 has 40 divisors (see below), whose sum is σ = 109231104. Its totient is φ = 25303680.

The previous prime is 53454397. The next prime is 53454421. The reversal of 53454416 is 61445435.

53454416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22166 + ... + 24458.

Almost surely, 253454416 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 53454416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54615552).

53454416 is an abundant number, since it is smaller than the sum of its proper divisors (55776688).

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

53454416 is a wasteful number, since it uses less digits than its factorization.

53454416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2379 (or 2373 counting only the distinct ones).

The product of its digits is 28800, while the sum is 32.

The square root of 53454416 is about 7311.2526970417. The cubic root of 53454416 is about 376.6990541325.

The spelling of 53454416 in words is "fifty-three million, four hundred fifty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 47 62 94 124 188 248 376 496 752 1457 2293 2914 4586 5828 9172 11656 18344 23312 36688 71083 107771 142166 215542 284332 431084 568664 862168 1137328 1724336 3340901 6681802 13363604 26727208 53454416