Search a number
-
+
50987520 = 293252213
BaseRepresentation
bin1100001010000…
…0001000000000
310112221102201200
43002200020000
5101023100040
65020501200
71156246443
oct302401000
9115842650
1050987520
1126865751
12150aa800
13a742a3c
146ab365a
154722630
hex30a0200

50987520 has 120 divisors (see below), whose sum is σ = 176663916. Its totient is φ = 13590528.

The previous prime is 50987473. The next prime is 50987549. The reversal of 50987520 is 2578905.

Added to its reverse (2578905) it gives a triangular number (53566425 = T10350).

50987520 is a `hidden beast` number, since 50 + 9 + 87 + 520 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 3873024 = 6864^2 + 1968^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21934 + ... + 24146.

Almost surely, 250987520 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 50987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88331958).

50987520 is an abundant number, since it is smaller than the sum of its proper divisors (125676396).

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

50987520 is a wasteful number, since it uses less digits than its factorization.

50987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 50987520 is about 7140.5546003094. The cubic root of 50987520 is about 370.8127253063.

Adding to 50987520 its reverse (2578905), we get a triangular number (53566425 = T10350).

The spelling of 50987520 in words is "fifty million, nine hundred eighty-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2213 2304 2560 2880 3840 4426 4608 5760 6639 7680 8852 11065 11520 13278 17704 19917 22130 23040 26556 33195 35408 39834 44260 53112 66390 70816 79668 88520 99585 106224 132780 141632 159336 177040 199170 212448 265560 283264 318672 354080 398340 424896 531120 566528 637344 708160 796680 849792 1062240 1133056 1274688 1416320 1593360 1699584 2124480 2549376 2832640 3186720 3399168 4248960 5098752 5665280 6373440 8497920 10197504 12746880 16995840 25493760 50987520