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54258048 = 2732133623
BaseRepresentation
bin1100111011111…
…0100110000000
310210002121001100
43032332212000
5102342224143
65214534400
71226120505
oct316764600
9123077040
1054258048
1128699969
1216207400
13b319570
1472c54ac
154b6b6d3
hex33be980

54258048 has 96 divisors (see below), whose sum is σ = 168189840. Its totient is φ = 16690176.

The previous prime is 54258041. The next prime is 54258073. The reversal of 54258048 is 84085245.

54258048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54258041) 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 11 ways as a sum of consecutive naturals, for example, 13165 + ... + 16787.

Almost surely, 254258048 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 54258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84094920).

54258048 is an abundant number, since it is smaller than the sum of its proper divisors (113931792).

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

54258048 is a wasteful number, since it uses less digits than its factorization.

54258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 54258048 is about 7366.0062449064. The cubic root of 54258048 is about 378.5774327414.

The spelling of 54258048 in words is "fifty-four million, two hundred fifty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3623 3744 4992 7246 7488 10869 14492 14976 21738 28984 32607 43476 47099 57968 65214 86952 94198 115936 130428 141297 173904 188396 231872 260856 282594 347808 376792 423891 463744 521712 565188 695616 753584 847782 1043424 1130376 1391232 1507168 1695564 2086848 2260752 3014336 3391128 4173696 4521504 6028672 6782256 9043008 13564512 18086016 27129024 54258048