Search a number
-
+
5444257440 = 253511342203
BaseRepresentation
bin1010001001000000…
…01100011010100000
3112001102022221012110
411010200030122200
542122212214230
62300121155320
7251625265446
oct50440143240
915042287173
105444257440
112344161216
12107b32bb40
13689bc780b
143990a6b96
1521ce5d4b0
hex14480c6a0

5444257440 has 48 divisors (see below), whose sum is σ = 17149412448. Its totient is φ = 1451801856.

The previous prime is 5444257387. The next prime is 5444257453. The reversal of 5444257440 is 447524445.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5670622 + ... + 5671581.

It is an arithmetic number, because the mean of its divisors is an integer number (357279426).

Almost surely, 25444257440 is an apocalyptic number.

It is an amenable number.

5444257440 is an abundant number, since it is smaller than the sum of its proper divisors (11705155008).

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

5444257440 is a wasteful number, since it uses less digits than its factorization.

5444257440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11342221 (or 11342213 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 39.

The square root of 5444257440 is about 73785.2115264299. The cubic root of 5444257440 is about 1759.1905540914.

The spelling of 5444257440 in words is "five billion, four hundred forty-four million, two hundred fifty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11342203 22684406 34026609 45368812 56711015 68053218 90737624 113422030 136106436 170133045 181475248 226844060 272212872 340266090 362950496 453688120 544425744 680532180 907376240 1088851488 1361064360 1814752480 2722128720 5444257440