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54420768 = 253362987
BaseRepresentation
bin1100111110011…
…0010100100000
310210101212021000
43033212110200
5102412431033
65222232000
71230366063
oct317462440
9123355230
1054420768
11287a0146
1216285600
13b37564c
1473288da
154b9ea13
hex33e6520

54420768 has 48 divisors (see below), whose sum is σ = 158729760. Its totient is φ = 18139968.

The previous prime is 54420767. The next prime is 54420781. The reversal of 54420768 is 86702445.

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

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

It is not an unprimeable number, because it can be changed into a prime (54420761) 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, 30630 + ... + 32357.

It is an arithmetic number, because the mean of its divisors is an integer number (3306870).

Almost surely, 254420768 is an apocalyptic number.

It is an amenable number.

54420768 is an abundant number, since it is smaller than the sum of its proper divisors (104308992).

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

54420768 is a wasteful number, since it uses less digits than its factorization.

54420768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63006 (or 62992 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 54420768 is about 7377.0433101616. The cubic root of 54420768 is about 378.9555065504.

It can be divided in two parts, 544 and 20768, that added together give a palindrome (21312).

The spelling of 54420768 in words is "fifty-four million, four hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 62987 125974 188961 251948 377922 503896 566883 755844 1007792 1133766 1511688 1700649 2015584 2267532 3023376 3401298 4535064 6046752 6802596 9070128 13605192 18140256 27210384 54420768