Search a number
-
+
283542368 = 2531535393
BaseRepresentation
bin10000111001101…
…000001101100000
3201202112110000012
4100321220031200
51040041323433
644045144052
710012033064
oct2071501540
9652473005
10283542368
1113606363a
127ab5b028
1346987b65
142992baa4
1519d5c848
hex10e68360

283542368 has 48 divisors (see below), whose sum is σ = 587212416. Its totient is φ = 134584320.

The previous prime is 283542361. The next prime is 283542383. The reversal of 283542368 is 863245382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (283542361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49880 + ... + 55272.

It is an arithmetic number, because the mean of its divisors is an integer number (12233592).

Almost surely, 2283542368 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 283542368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293606208).

283542368 is an abundant number, since it is smaller than the sum of its proper divisors (303670048).

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

283542368 is a wasteful number, since it uses less digits than its factorization.

283542368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5487 (or 5479 counting only the distinct ones).

The product of its digits is 276480, while the sum is 41.

The square root of 283542368 is about 16838.7163406241. The cubic root of 283542368 is about 656.9605944795.

The spelling of 283542368 in words is "two hundred eighty-three million, five hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 424 496 848 992 1643 1696 3286 5393 6572 10786 13144 21572 26288 43144 52576 86288 167183 172576 285829 334366 571658 668732 1143316 1337464 2286632 2674928 4573264 5349856 8860699 9146528 17721398 35442796 70885592 141771184 283542368