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54289440 = 253455971
BaseRepresentation
bin1100111100011…
…0010000100000
310210011012010000
43033012100200
5102344230230
65215340000
71226311152
oct317062040
9123135100
1054289440
1128710507
1216221600
13b32a93a
1472d2ad2
154b75b60
hex33c6420

54289440 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 14031360.

The previous prime is 54289439. The next prime is 54289493. The reversal of 54289440 is 4498245.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 54289395 and 54289404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 764605 + ... + 764675.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 254289440 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 54289440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

54289440 is an abundant number, since it is smaller than the sum of its proper divisors (143298720).

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

54289440 is a wasteful number, since it uses less digits than its factorization.

54289440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 54289440 is about 7368.1368065475. The cubic root of 54289440 is about 378.6504296637.

The spelling of 54289440 in words is "fifty-four million, two hundred eighty-nine thousand, four hundred forty".