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4918003000 = 235337612179
BaseRepresentation
bin1001001010010001…
…01100010100111000
3110200202002102211021
410211020230110320
540033002044000
62132001512224
7232605223111
oct44510542470
913622072737
104918003000
1120a40a2499
12b53042674
13604b7c561
14349239208
151dbb5b11a
hex12522c538

4918003000 has 128 divisors (see below), whose sum is σ = 12018427200. Its totient is φ = 1881792000.

The previous prime is 4918002989. The next prime is 4918003001. The reversal of 4918003000 is 3008194.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4918003001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2255911 + ... + 2258089.

Almost surely, 24918003000 is an apocalyptic number.

4918003000 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 4918003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6009213600).

4918003000 is an abundant number, since it is smaller than the sum of its proper divisors (7100424200).

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

4918003000 is a wasteful number, since it uses less digits than its factorization.

4918003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 4918003000 is about 70128.4749584646. The cubic root of 4918003000 is about 1700.5768515275.

It can be divided in two parts, 49 and 18003000, that added together give a square (18003049 = 42432).

The spelling of 4918003000 in words is "four billion, nine hundred eighteen million, three thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 61 74 100 122 125 148 185 200 244 250 296 305 370 488 500 610 740 925 1000 1220 1480 1525 1850 2179 2257 2440 3050 3700 4358 4514 4625 6100 7400 7625 8716 9028 9250 10895 11285 12200 15250 17432 18056 18500 21790 22570 30500 37000 43580 45140 54475 56425 61000 80623 87160 90280 108950 112850 132919 161246 217900 225700 265838 272375 282125 322492 403115 435800 451400 531676 544750 564250 644984 664595 806230 1063352 1089500 1128500 1329190 1612460 2015575 2179000 2257000 2658380 3224920 3322975 4031150 4918003 5316760 6645950 8062300 9836006 10077875 13291900 16124600 16614875 19672012 20155750 24590015 26583800 33229750 39344024 40311500 49180030 66459500 80623000 98360060 122950075 132919000 196720120 245900150 491800300 614750375 983600600 1229500750 2459001500 4918003000