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5404365440 = 27510098369
BaseRepresentation
bin1010000100010000…
…00001001010000000
3111221122021012122222
411002020001022000
542032004143230
62252134150212
7250632230315
oct50210011200
914848235588
105404365440
112323694821
121069ab2368
1368186b196
14393a80d0c
152196cd6e5
hex142201280

5404365440 has 64 divisors (see below), whose sum is σ = 12934161000. Its totient is φ = 2159345664.

The previous prime is 5404365409. The next prime is 5404365443. The reversal of 5404365440 is 445634045.

It can be written as a sum of positive squares in 4 ways, for example, as 4395159616 + 1009205824 = 66296^2 + 31768^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5404365440.

It is not an unprimeable number, because it can be changed into a prime (5404365443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 641576 + ... + 649944.

Almost surely, 25404365440 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 5404365440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467080500).

5404365440 is an abundant number, since it is smaller than the sum of its proper divisors (7529795560).

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

5404365440 is a wasteful number, since it uses less digits than its factorization.

5404365440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9397 (or 9385 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The square root of 5404365440 is about 73514.3893397748. The cubic root of 5404365440 is about 1754.8832794401.

Adding to 5404365440 its reverse (445634045), we get a palindrome (5849999485).

The spelling of 5404365440 in words is "five billion, four hundred four million, three hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1009 2018 4036 5045 8072 8369 10090 16144 16738 20180 32288 33476 40360 41845 64576 66952 80720 83690 129152 133904 161440 167380 267808 322880 334760 535616 645760 669520 1071232 1339040 2678080 5356160 8444321 16888642 33777284 42221605 67554568 84443210 135109136 168886420 270218272 337772840 540436544 675545680 1080873088 1351091360 2702182720 5404365440