Search a number
-
+
4000000500 = 2232536713267
BaseRepresentation
bin1110111001101011…
…0010100111110100
3101022202201002010200
43232122302213310
531143000004000
61500525520500
7201060305016
oct35632624764
911282632120
104000000500
111772994641
12937713130
134b9921a02
1429d3541b6
15186275500
hexee6b29f4

4000000500 has 144 divisors (see below), whose sum is σ = 12807971904. Its totient is φ = 1050667200.

The previous prime is 4000000483. The next prime is 4000000531. The reversal of 4000000500 is 50000004.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294867 + ... + 308133.

Almost surely, 24000000500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000000500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403985952).

4000000500 is an abundant number, since it is smaller than the sum of its proper divisors (8807971404).

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

4000000500 is a wasteful number, since it uses less digits than its factorization.

4000000500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13359 (or 13344 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 4000000500 is about 63245.5571562145. The cubic root of 4000000500 is about 1587.4011181099.

Adding to 4000000500 its reverse (50000004), we get a palindrome (4050000504).

The spelling of 4000000500 in words is "four billion, five hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 67 75 90 100 125 134 150 180 201 225 250 268 300 335 375 402 450 500 603 670 750 804 900 1005 1125 1206 1340 1500 1675 2010 2250 2412 3015 3350 4020 4500 5025 6030 6700 8375 10050 12060 13267 15075 16750 20100 25125 26534 30150 33500 39801 50250 53068 60300 66335 75375 79602 100500 119403 132670 150750 159204 199005 238806 265340 301500 331675 398010 477612 597015 663350 796020 888889 995025 1194030 1326700 1658375 1777778 1990050 2388060 2666667 2985075 3316750 3555556 3980100 4444445 4975125 5333334 5970150 6633500 8000001 8888890 9950250 10666668 11940300 13333335 14925375 16000002 17777780 19900500 22222225 26666670 29850750 32000004 40000005 44444450 53333340 59701500 66666675 80000010 88888900 111111125 133333350 160000020 200000025 222222250 266666700 333333375 400000050 444444500 666666750 800000100 1000000125 1333333500 2000000250 4000000500