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5475607584 = 253199443647
BaseRepresentation
bin1010001100101111…
…10010010000100000
3112010121022200111220
411012113302100200
542203223420314
62303201135040
7252455616336
oct50627622040
915117280456
105475607584
11235a924027
12108992a480
136935531b5
1439d307b56
15220aa23a9
hex1465f2420

5475607584 has 96 divisors (see below), whose sum is σ = 14500684800. Its totient is φ = 1809130752.

The previous prime is 5475607567. The next prime is 5475607589. The reversal of 5475607584 is 4857065745.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5475607589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8462749 + ... + 8463395.

It is an arithmetic number, because the mean of its divisors is an integer number (151048800).

Almost surely, 25475607584 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 5475607584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7250342400).

5475607584 is an abundant number, since it is smaller than the sum of its proper divisors (9025077216).

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

5475607584 is a wasteful number, since it uses less digits than its factorization.

5475607584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 51.

The square root of 5475607584 is about 73997.3484930372. The cubic root of 5475607584 is about 1762.5607935974.

The spelling of 5475607584 in words is "five billion, four hundred seventy-five million, six hundred seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 443 597 647 796 886 1194 1294 1329 1592 1772 1941 2388 2588 2658 3184 3544 3882 4776 5176 5316 6368 7088 7764 9552 10352 10632 14176 15528 19104 20704 21264 31056 42528 62112 88157 128753 176314 257506 264471 286621 352628 386259 515012 528942 573242 705256 772518 859863 1030024 1057884 1146484 1410512 1545036 1719726 2060048 2115768 2292968 2821024 3090072 3439452 4120096 4231536 4585936 6180144 6878904 8463072 9171872 12360288 13757808 27515616 57037579 114075158 171112737 228150316 342225474 456300632 684450948 912601264 1368901896 1825202528 2737803792 5475607584