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19400850 = 2335272053
BaseRepresentation
bin100101000000…
…0100010010010
31100111122222000
41022000202102
514431311400
61531454430
7323622150
oct112004222
940448860
1019400850
11aa51167
1265b7416
1340337c1
1428103d0
151a83600
hex1280892

19400850 has 96 divisors (see below), whose sum is σ = 61127040. Its totient is φ = 4432320.

The previous prime is 19400819. The next prime is 19400851. The reversal of 19400850 is 5800491.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (19400851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8424 + ... + 10476.

It is an arithmetic number, because the mean of its divisors is an integer number (636740).

Almost surely, 219400850 is an apocalyptic number.

19400850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19400850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30563520).

19400850 is an abundant number, since it is smaller than the sum of its proper divisors (41726190).

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

19400850 is a wasteful number, since it uses less digits than its factorization.

19400850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 19400850 is about 4404.6395993316. The cubic root of 19400850 is about 268.7036624635.

The spelling of 19400850 in words is "nineteen million, four hundred thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 126 135 150 175 189 210 225 270 315 350 378 450 525 630 675 945 1050 1350 1575 1890 2053 3150 4106 4725 6159 9450 10265 12318 14371 18477 20530 28742 30795 36954 43113 51325 55431 61590 71855 86226 92385 102650 110862 129339 143710 153975 184770 215565 258678 277155 307950 359275 388017 431130 461925 554310 646695 718550 776034 923850 1077825 1293390 1385775 1940085 2155650 2771550 3233475 3880170 6466950 9700425 19400850