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282475242 = 233719371063
BaseRepresentation
bin10000110101100…
…011101011101010
3201200112020012000
4100311203223222
51034303201432
644010231430
76666666660
oct2065435352
9650466160
10282475242
111354a4915
127a725576
13466a321a
1429730c30
1519beb57c
hex10d63aea

282475242 has 128 divisors (see below), whose sum is σ = 776294400. Its totient is φ = 74323008.

The previous prime is 282475241. The next prime is 282475267. The reversal of 282475242 is 242574282.

It is a nialpdrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 282475197 and 282475206.

It is not an unprimeable number, because it can be changed into a prime (282475241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265203 + ... + 266265.

It is an arithmetic number, because the mean of its divisors is an integer number (6064800).

Almost surely, 2282475242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282475242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388147200).

282475242 is an abundant number, since it is smaller than the sum of its proper divisors (493819158).

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

282475242 is a wasteful number, since it uses less digits than its factorization.

282475242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1137 (or 1131 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 282475242 is about 16806.9997917534. Note that the first 3 decimals coincide. The cubic root of 282475242 is about 656.1353902710.

It can be divided in two parts, 28247 and 5242, that added together give a square (33489 = 1832).

The spelling of 282475242 in words is "two hundred eighty-two million, four hundred seventy-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 37 38 42 54 57 63 74 111 114 126 133 171 189 222 259 266 333 342 378 399 513 518 666 703 777 798 999 1026 1063 1197 1406 1554 1998 2109 2126 2331 2394 3189 3591 4218 4662 4921 6327 6378 6993 7182 7441 9567 9842 12654 13986 14763 14882 18981 19134 20197 22323 28701 29526 37962 39331 40394 44289 44646 57402 60591 66969 78662 88578 117993 121182 132867 133938 141379 181773 200907 235986 265734 275317 282758 353979 363546 401814 424137 545319 550634 707958 747289 825951 848274 1061937 1090638 1272411 1494578 1651902 2123874 2241867 2477853 2544822 3817233 4483734 4955706 5231023 6725601 7433559 7634466 10462046 13451202 14867118 15693069 20176803 31386138 40353606 47079207 94158414 141237621 282475242