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57048900 = 22352397479
BaseRepresentation
bin1101100110011…
…1111101000100
310222100101101020
43121213331010
5104101031100
65354431140
71261623216
oct331477504
9128311336
1057048900
112a225757
12171324b0
13ba8595c
1478105b6
15501d5a0
hex3667f44

57048900 has 72 divisors (see below), whose sum is σ = 165822720. Its totient is φ = 15143040.

The previous prime is 57048899. The next prime is 57048913. The reversal of 57048900 is 984075.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118861 + ... + 119339.

Almost surely, 257048900 is an apocalyptic number.

57048900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57048900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82911360).

57048900 is an abundant number, since it is smaller than the sum of its proper divisors (108773820).

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

57048900 is a wasteful number, since it uses less digits than its factorization.

57048900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 57048900 is about 7553.0722226125. The cubic root of 57048900 is about 384.9601353000.

The spelling of 57048900 in words is "fifty-seven million, forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 397 479 794 958 1191 1437 1588 1916 1985 2382 2395 2874 3970 4764 4790 5748 5955 7185 7940 9580 9925 11910 11975 14370 19850 23820 23950 28740 29775 35925 39700 47900 59550 71850 119100 143700 190163 380326 570489 760652 950815 1140978 1901630 2281956 2852445 3803260 4754075 5704890 9508150 11409780 14262225 19016300 28524450 57048900