Search a number
-
+
52833780 = 22325377933
BaseRepresentation
bin1100100110001…
…0110111110100
310200102020022200
43021202313310
5102011140110
65124224500
71211036226
oct311426764
9120366280
1052833780
112790688a
121583b130
13ac3b1bc
147034416
1549896c0
hex3262df4

52833780 has 72 divisors (see below), whose sum is σ = 164614632. Its totient is φ = 13706496.

The previous prime is 52833769. The next prime is 52833787. The reversal of 52833780 is 8733825.

52833780 is a `hidden beast` number, since 5 + 283 + 378 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9511056 + 43322724 = 3084^2 + 6582^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52833787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2694 + ... + 10626.

Almost surely, 252833780 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 52833780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82307316).

52833780 is an abundant number, since it is smaller than the sum of its proper divisors (111780852).

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

52833780 is a wasteful number, since it uses less digits than its factorization.

52833780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 52833780 is about 7268.6848879285. The cubic root of 52833780 is about 375.2354787684.

The spelling of 52833780 in words is "fifty-two million, eight hundred thirty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 7933 15866 23799 31732 39665 47598 71397 79330 95196 118995 142794 158660 237990 285588 293521 356985 475980 587042 713970 880563 1174084 1427940 1467605 1761126 2641689 2935210 3522252 4402815 5283378 5870420 8805630 10566756 13208445 17611260 26416890 52833780