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5344435040 = 25574771817
BaseRepresentation
bin1001111101000110…
…11001101101100000
3111210110111102121112
410332203121231200
541421133410130
62242153442452
7246303643160
oct47643315540
914713442545
105344435040
1122a288116a
121051a10428
13672316ac9
14389b205a0
152142e1495
hex13e8d9b60

5344435040 has 48 divisors (see below), whose sum is σ = 14429977632. Its totient is φ = 1832377344.

The previous prime is 5344435013. The next prime is 5344435139. The reversal of 5344435040 is 405344435.

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 = 5344434988 and 5344435006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2384789 + ... + 2387028.

It is an arithmetic number, because the mean of its divisors is an integer number (300624534).

Almost surely, 25344435040 is an apocalyptic number.

It is an amenable number.

5344435040 is an abundant number, since it is smaller than the sum of its proper divisors (9085542592).

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

5344435040 is a wasteful number, since it uses less digits than its factorization.

5344435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4771839 (or 4771831 counting only the distinct ones).

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

The square root of 5344435040 is about 73105.6430106459. The cubic root of 5344435040 is about 1748.3723685546.

Adding to 5344435040 its reverse (405344435), we get a palindrome (5749779475).

The spelling of 5344435040 in words is "five billion, three hundred forty-four million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 4771817 9543634 19087268 23859085 33402719 38174536 47718170 66805438 76349072 95436340 133610876 152698144 167013595 190872680 267221752 334027190 381745360 534443504 668054380 763490720 1068887008 1336108760 2672217520 5344435040