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5283514440 = 233356317753
BaseRepresentation
bin1001110101110110…
…00000100001001000
3111122012212100021000
410322323000201020
541310034430230
62232140015000
7244634063121
oct47273004110
914565770230
105283514440
112271451666
121035531460
13662806b09
143819c3048
1520dcaab60
hex13aec0848

5283514440 has 128 divisors (see below), whose sum is σ = 17641900800. Its totient is φ = 1406522880.

The previous prime is 5283514427. The next prime is 5283514469. The reversal of 5283514440 is 444153825.

It is a happy number.

5283514440 is a `hidden beast` number, since 528 + 3 + 51 + 44 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5283514395 and 5283514404.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 677604 + ... + 685356.

It is an arithmetic number, because the mean of its divisors is an integer number (137827350).

Almost surely, 25283514440 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 5283514440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820950400).

5283514440 is an abundant number, since it is smaller than the sum of its proper divisors (12358386360).

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

5283514440 is a wasteful number, since it uses less digits than its factorization.

5283514440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5283514440 is about 72687.7874198961. The cubic root of 5283514440 is about 1741.7038007798.

The spelling of 5283514440 in words is "five billion, two hundred eighty-three million, five hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 631 1080 1262 1893 2524 3155 3786 5048 5679 6310 7572 7753 9465 11358 12620 15144 15506 17037 18930 22716 23259 25240 28395 31012 34074 37860 38765 45432 46518 56790 62024 68148 69777 75720 77530 85185 93036 113580 116295 136296 139554 155060 170370 186072 209331 227160 232590 279108 310120 340740 348885 418662 465180 558216 681480 697770 837324 930360 1046655 1395540 1674648 2093310 2791080 4186620 4892143 8373240 9784286 14676429 19568572 24460715 29352858 39137144 44029287 48921430 58705716 73382145 88058574 97842860 117411432 132087861 146764290 176117148 195685720 220146435 264175722 293528580 352234296 440292870 528351444 587057160 660439305 880585740 1056702888 1320878610 1761171480 2641757220 5283514440