Search a number
-
+
48018240 = 2632516673
BaseRepresentation
bin1011011100101…
…1001101000000
310100100120122100
42313023031000
544243040430
64433110400
71122101604
oct267131500
9110316570
1048018240
11251178a6
12140b8400
139c4337a
14653d504
154337960
hex2dcb340

48018240 has 84 divisors (see below), whose sum is σ = 165172644. Its totient is φ = 12804096.

The previous prime is 48018233. The next prime is 48018247. The reversal of 48018240 is 4281084.

48018240 is a `hidden beast` number, since 480 + 182 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (48018233) and next prime (48018247).

It can be written as a sum of positive squares in 2 ways, for example, as 32901696 + 15116544 = 5736^2 + 3888^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48018247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5457 + ... + 11216.

It is an arithmetic number, because the mean of its divisors is an integer number (1966341).

Almost surely, 248018240 is an apocalyptic number.

48018240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48018240 is an abundant number, since it is smaller than the sum of its proper divisors (117154404).

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

48018240 is a wasteful number, since it uses less digits than its factorization.

48018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16696 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48018240 is about 6929.5194638589. The cubic root of 48018240 is about 363.4701464584.

It can be divided in two parts, 4801 and 8240, that added together give a triangular number (13041 = T161).

The spelling of 48018240 in words is "forty-eight million, eighteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 16673 33346 50019 66692 83365 100038 133384 150057 166730 200076 250095 266768 300114 333460 400152 500190 533536 600228 666920 750285 800304 1000380 1067072 1200456 1333840 1500570 1600608 2000760 2400912 2667680 3001140 3201216 4001520 4801824 5335360 6002280 8003040 9603648 12004560 16006080 24009120 48018240