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8046503444 = 2272172983273
BaseRepresentation
bin1110111111001101…
…11110011000010100
3202202202220201122002
413133212332120110
5112434401102234
63410240254432
7403254102500
oct73746763024
922682821562
108046503444
11345a050151
121686911418
139b3075b55
14564931300
1532163427e
hex1df9be614

8046503444 has 72 divisors (see below), whose sum is σ = 17942216040. Its totient is φ = 3133691904.

The previous prime is 8046503431. The next prime is 8046503453. The reversal of 8046503444 is 4443056408.

It can be written as a sum of positive squares in 4 ways, for example, as 2309955844 + 5736547600 = 48062^2 + 75740^2 .

It is a super-2 number, since 2×80465034442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8046503398 and 8046503407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54992 + ... + 138264.

It is an arithmetic number, because the mean of its divisors is an integer number (249197445).

Almost surely, 28046503444 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 8046503444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8971108020).

8046503444 is an abundant number, since it is smaller than the sum of its proper divisors (9895712596).

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

8046503444 is a wasteful number, since it uses less digits than its factorization.

8046503444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83337 (or 83328 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 38.

The square root of 8046503444 is about 89702.3045634838. The cubic root of 8046503444 is about 2003.8678022311.

The spelling of 8046503444 in words is "eight billion, forty-six million, five hundred three thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 29 34 49 58 68 98 116 119 196 203 238 406 476 493 812 833 986 1421 1666 1972 2842 3332 3451 5684 6902 13804 24157 48314 83273 96628 166546 333092 582911 1165822 1415641 2331644 2414917 2831282 4080377 4829834 5662564 8160754 9659668 9909487 16321508 16904419 19818974 33808838 39637948 41053589 67617676 69366409 82107178 118330933 138732818 164214356 236661866 277465636 287375123 473323732 574750246 1149500492 2011625861 4023251722 8046503444