Search a number
-
+
53805780 = 22325742703
BaseRepresentation
bin1100110101000…
…0001011010100
310202020121122200
43031100023110
5102233241110
65201124500
71222225110
oct315201324
9122217580
1053805780
1128410096
1216029730
13b1bb752
147208740
154acc6c0
hex33502d4

53805780 has 72 divisors (see below), whose sum is σ = 186531072. Its totient is φ = 12298176.

The previous prime is 53805769. The next prime is 53805821. The reversal of 53805780 is 8750835.

It is a happy number.

53805780 is a `hidden beast` number, since 5 + 3 + 80 + 578 + 0 = 666.

It is a super-2 number, since 2×538057802 = 5790123922816800, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20092 + ... + 22611.

Almost surely, 253805780 is an apocalyptic number.

It is an amenable number.

53805780 is an abundant number, since it is smaller than the sum of its proper divisors (132725292).

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

53805780 is a wasteful number, since it uses less digits than its factorization.

53805780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42725 (or 42720 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 53805780 is about 7335.2423272854. The cubic root of 53805780 is about 377.5226189976.

The spelling of 53805780 in words is "fifty-three million, eight hundred five thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 42703 85406 128109 170812 213515 256218 298921 384327 427030 512436 597842 640545 768654 854060 896763 1195684 1281090 1494605 1537308 1793526 1921635 2562180 2690289 2989210 3587052 3843270 4483815 5380578 5978420 7686540 8967630 10761156 13451445 17935260 26902890 53805780