Search a number
-
+
54022336 = 263173373
BaseRepresentation
bin1100111000010…
…1000011000000
310202122121201021
43032011003000
5102312203321
65205515224
71224116344
oct316050300
9122577637
1054022336
1128548865
1216112b14
13b2661a4
147263624
154b21941
hex33850c0

54022336 has 56 divisors (see below), whose sum is σ = 112475264. Its totient is φ = 25712640.

The previous prime is 54022321. The next prime is 54022337. The reversal of 54022336 is 63322045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54022336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54022337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144646 + ... + 145018.

Almost surely, 254022336 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 54022336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56237632).

54022336 is an abundant number, since it is smaller than the sum of its proper divisors (58452928).

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

54022336 is a wasteful number, since it uses less digits than its factorization.

54022336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 54022336 is about 7349.9888435289. The cubic root of 54022336 is about 378.0284218525.

The spelling of 54022336 in words is "fifty-four million, twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 62 64 73 124 146 248 292 373 496 584 746 992 1168 1492 1984 2263 2336 2984 4526 4672 5968 9052 11563 11936 18104 23126 23872 27229 36208 46252 54458 72416 92504 108916 144832 185008 217832 370016 435664 740032 844099 871328 1688198 1742656 3376396 6752792 13505584 27011168 54022336