Search a number
-
+
40635455250 = 23531319972087
BaseRepresentation
bin100101110110000011…
…111101011100010010
310212212221210000020010
4211312003331130102
51131210134032000
630400114455350
72635661446005
oct456603753422
9125787700203
1040635455250
1116262722a75
127a60894556
133aa79131a0
141d76b4353c
1510cc6a9d50
hex9760fd712

40635455250 has 128 divisors (see below), whose sum is σ = 109335163392. Its totient is φ = 9992774400.

The previous prime is 40635455227. The next prime is 40635455251. The reversal of 40635455250 is 5255453604.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 40635455199 and 40635455208.

It is not an unprimeable number, because it can be changed into a prime (40635455251) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 19469707 + ... + 19471793.

It is an arithmetic number, because the mean of its divisors is an integer number (854180964).

Almost surely, 240635455250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40635455250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54667581696).

40635455250 is an abundant number, since it is smaller than the sum of its proper divisors (68699708142).

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

40635455250 is a wasteful number, since it uses less digits than its factorization.

40635455250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4117 (or 4107 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 40635455250 in words is "forty billion, six hundred thirty-five million, four hundred fifty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 125 130 150 195 250 325 375 390 650 750 975 1625 1950 1997 2087 3250 3994 4174 4875 5991 6261 9750 9985 10435 11982 12522 19970 20870 25961 27131 29955 31305 49925 51922 52175 54262 59910 62610 77883 81393 99850 104350 129805 135655 149775 155766 156525 162786 249625 259610 260875 271310 299550 313050 389415 406965 499250 521750 649025 678275 748875 778830 782625 813930 1298050 1356550 1497750 1565250 1947075 2034825 3245125 3391375 3894150 4069650 4167739 6490250 6782750 8335478 9735375 10174125 12503217 19470750 20348250 20838695 25006434 41677390 54180607 62516085 104193475 108361214 125032170 162541821 208386950 270903035 312580425 325083642 520967375 541806070 625160850 812709105 1041934750 1354515175 1562902125 1625418210 2709030350 3125804250 4063545525 6772575875 8127091050 13545151750 20317727625 40635455250