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54379520 = 2105131943
BaseRepresentation
bin1100111101110…
…0010000000000
310210022202200022
43033130100000
5102410121040
65221313012
71230134606
oct317342000
9123282608
1054379520
1128772158
1216265768
13b35c940
147317876
154b926b5
hex33dc400

54379520 has 176 divisors, whose sum is σ = 151314240. Its totient is φ = 18579456.

The previous prime is 54379513. The next prime is 54379531. The reversal of 54379520 is 2597345.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1264619 + ... + 1264661.

It is an arithmetic number, because the mean of its divisors is an integer number (859740).

Almost surely, 254379520 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 54379520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75657120).

54379520 is an abundant number, since it is smaller than the sum of its proper divisors (96934720).

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

54379520 is a wasteful number, since it uses less digits than its factorization.

54379520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 54379520 is about 7374.2470802110. The cubic root of 54379520 is about 378.8597397554.

The spelling of 54379520 in words is "fifty-four million, three hundred seventy-nine thousand, five hundred twenty".