Search a number
-
+
283508064 = 25327140629
BaseRepresentation
bin10000111001011…
…111110101100000
3201202110200221200
4100321133311200
51040034224224
644044321200
710011531060
oct2071376540
9652420850
10283508064
1113603a894
127ab43200
1346975368
142991d3a0
1519d525c9
hex10e5fd60

283508064 has 72 divisors (see below), whose sum is σ = 921407760. Its totient is φ = 81001728.

The previous prime is 283508059. The next prime is 283508081. The reversal of 283508064 is 460805382.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68299 + ... + 72330.

It is an arithmetic number, because the mean of its divisors is an integer number (12797330).

Almost surely, 2283508064 is an apocalyptic number.

283508064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

283508064 is an abundant number, since it is smaller than the sum of its proper divisors (637899696).

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

283508064 is a wasteful number, since it uses less digits than its factorization.

283508064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140652 (or 140641 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 283508064 is about 16837.6977048526. The cubic root of 283508064 is about 656.9340995736.

It can be divided in two parts, 28350 and 8064, that multiplied together give a square (228614400 = 151202).

The spelling of 283508064 in words is "two hundred eighty-three million, five hundred eight thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 140629 281258 421887 562516 843774 984403 1125032 1265661 1687548 1968806 2250064 2531322 2953209 3375096 3937612 4500128 5062644 5906418 6750192 7875224 8859627 10125288 11812836 13500384 15750448 17719254 20250576 23625672 31500896 35438508 40501152 47251344 70877016 94502688 141754032 283508064