Search a number
-
+
55883520 = 283457211
BaseRepresentation
bin1101010100101…
…1011100000000
310220011011210000
43111023130000
5103301233040
65313440000
71246000500
oct325133400
9126134700
1055883520
11295aa130
1216870000
13b768394
1475c9a00
154d8d130
hex354b700

55883520 has 540 divisors, whose sum is σ = 253754424. Its totient is φ = 11612160.

The previous prime is 55883519. The next prime is 55883521. The reversal of 55883520 is 2538855.

55883520 is a `hidden beast` number, since 5 + 58 + 83 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (55883519) and next prime (55883521).

It is a tau number, because it is divible by the number of its divisors (540).

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 (55883521) 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 59 ways as a sum of consecutive naturals, for example, 5080315 + ... + 5080325.

Almost surely, 255883520 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 55883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126877212).

55883520 is an abundant number, since it is smaller than the sum of its proper divisors (197870904).

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

55883520 is a wasteful number, since it uses less digits than its factorization.

55883520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 55883520 is about 7475.5280749924. The cubic root of 55883520 is about 382.3207926375.

It can be divided in two parts, 558835 and 20, that added together give a palindrome (558855).

The spelling of 55883520 in words is "fifty-five million, eight hundred eighty-three thousand, five hundred twenty".