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5357949282 = 235710914449
BaseRepresentation
bin1001111110101101…
…11101000101100010
3111211101221000200000
410333112331011202
541433113334112
62243355240430
7246526550250
oct47726750542
914741830600
105357949282
1122aa471664
121056449116
136750690ba
1438b83b5d0
152155b07dc
hex13f5bd162

5357949282 has 96 divisors (see below), whose sum is σ = 13885872000. Its totient is φ = 1516693248.

The previous prime is 5357949271. The next prime is 5357949301. The reversal of 5357949282 is 2829497535.

5357949282 is a `hidden beast` number, since 5 + 3 + 5 + 79 + 492 + 82 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 363594 + ... + 378042.

It is an arithmetic number, because the mean of its divisors is an integer number (144644500).

Almost surely, 25357949282 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5357949282, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6942936000).

5357949282 is an abundant number, since it is smaller than the sum of its proper divisors (8527922718).

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

5357949282 is a wasteful number, since it uses less digits than its factorization.

5357949282 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14582 (or 14570 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The square root of 5357949282 is about 73198.0141943755. The cubic root of 5357949282 is about 1749.8448060470.

The spelling of 5357949282 in words is "five billion, three hundred fifty-seven million, nine hundred forty-nine thousand, two hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 109 126 162 189 218 243 327 378 486 567 654 763 981 1134 1526 1701 1962 2289 2943 3402 4578 5886 6867 8829 13734 14449 17658 20601 26487 28898 41202 43347 52974 61803 86694 101143 123606 130041 185409 202286 260082 303429 370818 390123 606858 780246 910287 1170369 1574941 1820574 2340738 2730861 3149882 3511107 4724823 5461722 7022214 8192583 9449646 11024587 14174469 16385166 22049174 24577749 28348938 33073761 42523407 49155498 66147522 85046814 99221283 127570221 198442566 255140442 297663849 382710663 595327698 765421326 892991547 1785983094 2678974641 5357949282