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5468286208 = 28711225219
BaseRepresentation
bin1010001011110111…
…10110110100000000
3112010002112201110211
411011323312310000
542144340124313
62302340203504
7252336444250
oct50573666400
915102481424
105468286208
112356783400
121087399594
13691b8b918
1439c35d960
15220107e3d
hex145ef6d00

5468286208 has 108 divisors (see below), whose sum is σ = 13712214880. Its totient is φ = 2130416640.

The previous prime is 5468286193. The next prime is 5468286223. The reversal of 5468286208 is 8026828645.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5468286193) and next prime (5468286223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204223 + ... + 229441.

Almost surely, 25468286208 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 5468286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856107440).

5468286208 is an abundant number, since it is smaller than the sum of its proper divisors (8243928672).

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

5468286208 is a wasteful number, since it uses less digits than its factorization.

5468286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25264 (or 25239 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The square root of 5468286208 is about 73947.8614160004. The cubic root of 5468286208 is about 1761.7748761869.

The spelling of 5468286208 in words is "five billion, four hundred sixty-eight million, two hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 128 154 176 224 242 256 308 352 448 484 616 704 847 896 968 1232 1408 1694 1792 1936 2464 2816 3388 3872 4928 6776 7744 9856 13552 15488 19712 25219 27104 30976 50438 54208 100876 108416 176533 201752 216832 277409 353066 403504 554818 706132 807008 1109636 1412264 1614016 1941863 2219272 2824528 3051499 3228032 3883726 4438544 5649056 6102998 6456064 7767452 8877088 11298112 12205996 15534904 17754176 21360493 22596224 24411992 31069808 35508352 42720986 45192448 48823984 62139616 71016704 85441972 97647968 124279232 170883944 195295936 248558464 341767888 390591872 497116928 683535776 781183744 1367071552 2734143104 5468286208