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5302444544 = 29371132477
BaseRepresentation
bin1001111000000110…
…01110001000000000
3111200112111002110222
410330003032020000
541324411211134
62234053442212
7245254014665
oct47403161000
914615432428
105302444544
112281101081
12103b940368
13666704267
1438430da6c
15210799a2e
hex13c0ce200

5302444544 has 80 divisors (see below), whose sum is σ = 10981594008. Its totient is φ = 2555707392.

The previous prime is 5302444501. The next prime is 5302444549. The reversal of 5302444544 is 4454442035.

It can be written as a sum of positive squares in 4 ways, for example, as 4126777600 + 1175666944 = 64240^2 + 34288^2 .

It is a super-3 number, since 3×53024445443 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5302444549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2139434 + ... + 2141910.

Almost surely, 25302444544 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 5302444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490797004).

5302444544 is an abundant number, since it is smaller than the sum of its proper divisors (5679149464).

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

5302444544 is a wasteful number, since it uses less digits than its factorization.

5302444544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 35.

The square root of 5302444544 is about 72817.8861544332. The cubic root of 5302444544 is about 1743.7814163668.

Adding to 5302444544 its reverse (4454442035), we get a palindrome (9756886579).

The spelling of 5302444544 in words is "five billion, three hundred two million, four hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 113 128 148 226 256 296 452 512 592 904 1184 1808 2368 2477 3616 4181 4736 4954 7232 8362 9472 9908 14464 16724 18944 19816 28928 33448 39632 57856 66896 79264 91649 133792 158528 183298 267584 279901 317056 366596 535168 559802 634112 733192 1070336 1119604 1268224 1466384 2140672 2239208 2932768 4478416 5865536 8956832 10356337 11731072 17913664 20712674 23462144 35827328 41425348 46924288 71654656 82850696 143309312 165701392 331402784 662805568 1325611136 2651222272 5302444544