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18848000 = 28531931
BaseRepresentation
bin100011111100…
…1100100000000
31022110120121002
41013321210000
514311114000
61511551132
7316130303
oct107714400
938416532
1018848000
11a703866
12638b4a8
133b9bc82
142708b3a
1519c48d5
hex11f9900

18848000 has 144 divisors (see below), whose sum is σ = 51018240. Its totient is φ = 6912000.

The previous prime is 18847993. The next prime is 18848003. The reversal of 18848000 is 84881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18848003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607985 + ... + 608015.

Almost surely, 218848000 is an apocalyptic number.

18848000 is a gapful number since it is divisible by the number (10) 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 18848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25509120).

18848000 is an abundant number, since it is smaller than the sum of its proper divisors (32170240).

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

18848000 is an equidigital number, since it uses as much as digits as its factorization.

18848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 29.

The square root of 18848000 is about 4341.4283363888. The cubic root of 18848000 is about 266.1266850904.

The spelling of 18848000 in words is "eighteen million, eight hundred forty-eight thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 31 32 38 40 50 62 64 76 80 95 100 124 125 128 152 155 160 190 200 248 250 256 304 310 320 380 400 475 496 500 589 608 620 640 760 775 800 950 992 1000 1178 1216 1240 1280 1520 1550 1600 1900 1984 2000 2356 2375 2432 2480 2945 3040 3100 3200 3800 3875 3968 4000 4712 4750 4864 4960 5890 6080 6200 6400 7600 7750 7936 8000 9424 9500 9920 11780 12160 12400 14725 15200 15500 16000 18848 19000 19840 23560 24320 24800 29450 30400 31000 32000 37696 38000 39680 47120 49600 58900 60800 62000 73625 75392 76000 94240 99200 117800 121600 124000 147250 150784 152000 188480 198400 235600 248000 294500 304000 376960 471200 496000 589000 608000 753920 942400 992000 1178000 1884800 2356000 3769600 4712000 9424000 18848000