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57358380 = 22351576089
BaseRepresentation
bin1101101011001…
…1100000101100
310222221002220110
43122303200230
5104140432010
65405220020
71264352412
oct332634054
9128832813
1057358380
112a417222
1217261610
13bb63791
1478912b2
155080120
hex36b382c

57358380 has 48 divisors (see below), whose sum is σ = 161652960. Its totient is φ = 15195648.

The previous prime is 57358369. The next prime is 57358381. The reversal of 57358380 is 8385375.

57358380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (57358381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6376 + ... + 12464.

It is an arithmetic number, because the mean of its divisors is an integer number (3367770).

Almost surely, 257358380 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 57358380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80826480).

57358380 is an abundant number, since it is smaller than the sum of its proper divisors (104294580).

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

57358380 is a wasteful number, since it uses less digits than its factorization.

57358380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6258 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 57358380 is about 7573.5315408335. The cubic root of 57358380 is about 385.6549934335.

The spelling of 57358380 in words is "fifty-seven million, three hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 157 314 471 628 785 942 1570 1884 2355 3140 4710 6089 9420 12178 18267 24356 30445 36534 60890 73068 91335 121780 182670 365340 955973 1911946 2867919 3823892 4779865 5735838 9559730 11471676 14339595 19119460 28679190 57358380