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48185000 = 235423419
BaseRepresentation
bin1011011111001…
…1111010101000
310100200001101122
42313303322220
544313410000
64440434412
71123365023
oct267637250
9110601348
1048185000
1125221116
1214178a08
139ca1246
1465841ba
15436c085
hex2df3ea8

48185000 has 80 divisors (see below), whose sum is σ = 118087200. Its totient is φ = 18392000.

The previous prime is 48184999. The next prime is 48185009. The reversal of 48185000 is 58184.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48185009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114791 + ... + 115209.

It is an arithmetic number, because the mean of its divisors is an integer number (1476090).

Almost surely, 248185000 is an apocalyptic number.

48185000 is a gapful number since it is divisible by the number (40) 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 48185000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59043600).

48185000 is an abundant number, since it is smaller than the sum of its proper divisors (69902200).

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

48185000 is a wasteful number, since it uses less digits than its factorization.

48185000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 48185000 is about 6941.5416155203. The cubic root of 48185000 is about 363.8904190531.

The spelling of 48185000 in words is "forty-eight million, one hundred eighty-five thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 419 460 500 575 625 838 920 1000 1150 1250 1676 2095 2300 2500 2875 3352 4190 4600 5000 5750 8380 9637 10475 11500 14375 16760 19274 20950 23000 28750 38548 41900 48185 52375 57500 77096 83800 96370 104750 115000 192740 209500 240925 261875 385480 419000 481850 523750 963700 1047500 1204625 1927400 2095000 2409250 4818500 6023125 9637000 12046250 24092500 48185000