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54375456 = 2535310687
BaseRepresentation
bin1100111101101…
…1010000100000
310210022120002210
43033123100200
5102410003311
65221242120
71230120012
oct317332040
9123276083
1054375456
112876a0a3
1216263340
13b35ab35
1473161b2
154b913a6
hex33db420

54375456 has 48 divisors (see below), whose sum is σ = 145442304. Its totient is φ = 17781504.

The previous prime is 54375439. The next prime is 54375491. The reversal of 54375456 is 65457345.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256 + ... + 10431.

It is an arithmetic number, because the mean of its divisors is an integer number (3030048).

Almost surely, 254375456 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 54375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72721152).

54375456 is an abundant number, since it is smaller than the sum of its proper divisors (91066848).

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

54375456 is a wasteful number, since it uses less digits than its factorization.

54375456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10745 counting only the distinct ones).

The product of its digits is 252000, while the sum is 39.

The square root of 54375456 is about 7373.9715215073. The cubic root of 54375456 is about 378.8503016168.

The spelling of 54375456 in words is "fifty-four million, three hundred seventy-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 10687 21374 32061 42748 64122 85496 128244 170992 256488 341984 512976 566411 1025952 1132822 1699233 2265644 3398466 4531288 6796932 9062576 13593864 18125152 27187728 54375456