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50082000 = 2435317491
BaseRepresentation
bin1011111100001…
…1000011010000
310111020102120220
42333003003100
5100310111000
64545233040
71145455443
oct277030320
9114212526
1050082000
11262a7391
1214932780
13a4b6827
14691965a
1545e41a0
hex2fc30d0

50082000 has 160 divisors (see below), whose sum is σ = 171310464. Its totient is φ = 12544000.

The previous prime is 50081989. The next prime is 50082001. The reversal of 50082000 is 28005.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50082001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101755 + ... + 102245.

Almost surely, 250082000 is an apocalyptic number.

50082000 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 50082000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85655232).

50082000 is an abundant number, since it is smaller than the sum of its proper divisors (121228464).

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

50082000 is a wasteful number, since it uses less digits than its factorization.

50082000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 50082000 is about 7076.8637121256. The cubic root of 50082000 is about 368.6044335909.

The spelling of 50082000 in words is "fifty million, eighty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 491 500 510 600 680 750 816 850 982 1000 1020 1200 1275 1360 1473 1500 1700 1964 2000 2040 2125 2455 2550 2946 3000 3400 3928 4080 4250 4910 5100 5892 6000 6375 6800 7365 7856 8347 8500 9820 10200 11784 12275 12750 14730 16694 17000 19640 20400 23568 24550 25041 25500 29460 33388 34000 36825 39280 41735 49100 50082 51000 58920 61375 66776 73650 83470 98200 100164 102000 117840 122750 125205 133552 147300 166940 184125 196400 200328 208675 245500 250410 294600 333880 368250 400656 417350 491000 500820 589200 626025 667760 736500 834700 982000 1001640 1043375 1252050 1473000 1669400 2003280 2086750 2504100 2946000 3130125 3338800 4173500 5008200 6260250 8347000 10016400 12520500 16694000 25041000 50082000