Search a number
-
+
57051000 = 2333532113
BaseRepresentation
bin1101100110100…
…0011101111000
310222100111021000
43121220131320
5104101113000
65354445000
71261632306
oct331503570
9128314230
1057051000
112a227296
1217133760
13ba868b6
147811276
15501e000
hex3668778

57051000 has 128 divisors (see below), whose sum is σ = 197870400. Its totient is φ = 15206400.

The previous prime is 57050989. The next prime is 57051013. The reversal of 57051000 is 15075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25944 + ... + 28056.

Almost surely, 257051000 is an apocalyptic number.

57051000 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 57051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98935200).

57051000 is an abundant number, since it is smaller than the sum of its proper divisors (140819400).

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

57051000 is a wasteful number, since it uses less digits than its factorization.

57051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2123 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 57051000 is about 7553.2112376128. The cubic root of 57051000 is about 384.9648587704.

Adding to 57051000 its reverse (15075), we get a palindrome (57066075).

The spelling of 57051000 in words is "fifty-seven million, fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2113 2250 2700 3000 3375 4226 4500 5400 6339 6750 8452 9000 10565 12678 13500 16904 19017 21130 25356 27000 31695 38034 42260 50712 52825 57051 63390 76068 84520 95085 105650 114102 126780 152136 158475 190170 211300 228204 253560 264125 285255 316950 380340 422600 456408 475425 528250 570510 633900 760680 792375 950850 1056500 1141020 1267800 1426275 1584750 1901700 2113000 2282040 2377125 2852550 3169500 3803400 4754250 5705100 6339000 7131375 9508500 11410200 14262750 19017000 28525500 57051000