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57273840 = 243251329211
BaseRepresentation
bin1101101001111…
…0110111110000
310222202210221100
43122132313300
5104130230330
65403324400
71263551061
oct332366760
9128683840
1057273840
112a369758
1217220700
13bb34160
14786c568
155065060
hex369edf0

57273840 has 240 divisors, whose sum is σ = 215298720. Its totient is φ = 13547520.

The previous prime is 57273793. The next prime is 57273851. The reversal of 57273840 is 4837275.

57273840 is a `hidden beast` number, since 572 + 7 + 3 + 84 + 0 = 666.

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 = 57273795 and 57273804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 271335 + ... + 271545.

It is an arithmetic number, because the mean of its divisors is an integer number (897078).

Almost surely, 257273840 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 57273840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107649360).

57273840 is an abundant number, since it is smaller than the sum of its proper divisors (158024880).

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

57273840 is a wasteful number, since it uses less digits than its factorization.

57273840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57273840 is about 7567.9482027826. The cubic root of 57273840 is about 385.4654291295.

The spelling of 57273840 in words is "fifty-seven million, two hundred seventy-three thousand, eight hundred forty".