Search a number
-
+
5433405440 = 21251272089
BaseRepresentation
bin1010000111101101…
…10011000000000000
3112000122220121001112
411003312303000000
542111422433230
62255052422452
7251434120121
oct50366630000
915018817045
105433405440
112339019a21
121077777a28
13687898208
14397880048
1521c017d95
hex143db3000

5433405440 has 104 divisors (see below), whose sum is σ = 13147537920. Its totient is φ = 2155216896.

The previous prime is 5433405413. The next prime is 5433405443. The reversal of 5433405440 is 445043345.

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

It is a junction number, because it is equal to n+sod(n) for n = 5433405397 and 5433405406.

It is not an unprimeable number, because it can be changed into a prime (5433405443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2599916 + ... + 2602004.

Almost surely, 25433405440 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 5433405440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6573768960).

5433405440 is an abundant number, since it is smaller than the sum of its proper divisors (7714132480).

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

5433405440 is a wasteful number, since it uses less digits than its factorization.

5433405440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The square root of 5433405440 is about 73711.6370731243. The cubic root of 5433405440 is about 1758.0209158903.

Adding to 5433405440 its reverse (445043345), we get a palindrome (5878448785).

The spelling of 5433405440 in words is "five billion, four hundred thirty-three million, four hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2048 2089 2540 2560 4064 4096 4178 5080 5120 8128 8356 10160 10240 10445 16256 16712 20320 20480 20890 32512 33424 40640 41780 65024 66848 81280 83560 130048 133696 162560 167120 260096 265303 267392 325120 334240 520192 530606 534784 650240 668480 1061212 1069568 1300480 1326515 1336960 2122424 2139136 2600960 2653030 2673920 4244848 4278272 5306060 5347840 8489696 8556544 10612120 10695680 16979392 21224240 21391360 33958784 42448480 42782720 67917568 84896960 135835136 169793920 271670272 339587840 543340544 679175680 1086681088 1358351360 2716702720 5433405440