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54235008 = 27345231
BaseRepresentation
bin1100111011100…
…0111110000000
310210001102110000
43032320332000
5102341010013
65214240000
71225663362
oct316707600
9123042400
1054235008
1128683623
12161b6000
13b30bc29
1472bad32
154b64973
hex33b8f80

54235008 has 80 divisors (see below), whose sum is σ = 161433360. Its totient is φ = 18074880.

The previous prime is 54234991. The next prime is 54235009. The reversal of 54235008 is 80053245.

54235008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54235009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 7753 + ... + 12983.

It is an arithmetic number, because the mean of its divisors is an integer number (2017917).

Almost surely, 254235008 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 54235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80716680).

54235008 is an abundant number, since it is smaller than the sum of its proper divisors (107198352).

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

54235008 is an equidigital number, since it uses as much as digits as its factorization.

54235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5236 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 54235008 is about 7364.4421377318. The cubic root of 54235008 is about 378.5238391009.

The spelling of 54235008 in words is "fifty-four million, two hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 5231 10368 10462 15693 20924 31386 41848 47079 62772 83696 94158 125544 141237 167392 188316 251088 282474 334784 376632 423711 502176 564948 669568 753264 847422 1004352 1129896 1506528 1694844 2008704 2259792 3013056 3389688 4519584 6026112 6779376 9039168 13558752 18078336 27117504 54235008