Search a number
-
+
5639324000 = 25532361297
BaseRepresentation
bin1010100000010000…
…10100000101100000
3112120000101100012212
411100020110011200
543022131332000
62331330141252
7256514314562
oct52010240540
915500340185
105639324000
112434284652
121114721828
136bb44540b
143b6d63332
15230140c35
hex150214160

5639324000 has 96 divisors (see below), whose sum is σ = 14458481856. Its totient is φ = 2157619200.

The previous prime is 5639323973. The next prime is 5639324003. The reversal of 5639324000 is 4239365.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5639324003) 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, 61352 + ... + 122648.

It is an arithmetic number, because the mean of its divisors is an integer number (150609186).

Almost surely, 25639324000 is an apocalyptic number.

5639324000 is a gapful number since it is divisible by the number (50) 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 5639324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229240928).

5639324000 is an abundant number, since it is smaller than the sum of its proper divisors (8819157856).

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

5639324000 is a wasteful number, since it uses less digits than its factorization.

5639324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61345 (or 61327 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 32.

The square root of 5639324000 is about 75095.4326174369. The cubic root of 5639324000 is about 1779.9549708762.

The spelling of 5639324000 in words is "five billion, six hundred thirty-nine million, three hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 80 92 100 115 125 160 184 200 230 250 368 400 460 500 575 736 800 920 1000 1150 1840 2000 2300 2875 3680 4000 4600 5750 9200 11500 18400 23000 46000 61297 92000 122594 245188 306485 490376 612970 980752 1225940 1409831 1532425 1961504 2451880 2819662 3064850 4903760 5639324 6129700 7049155 7662125 9807520 11278648 12259400 14098310 15324250 22557296 24518800 28196620 30648500 35245775 45114592 49037600 56393240 61297000 70491550 112786480 122594000 140983100 176228875 225572960 245188000 281966200 352457750 563932400 704915500 1127864800 1409831000 2819662000 5639324000