Search a number
-
+
55501520 = 2451016869
BaseRepresentation
bin1101001110111…
…0001011010000
310212102202202212
43103232023100
5103202022040
65301331252
71242520004
oct323561320
9125382685
1055501520
1129369128
1216706b28
13b663549
14752a704
154d14d65
hex34ee2d0

55501520 has 40 divisors (see below), whose sum is σ = 130337640. Its totient is φ = 21977600.

The previous prime is 55501513. The next prime is 55501531. The reversal of 55501520 is 2510555.

55501520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4293184 + 51208336 = 2072^2 + 7156^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4646 + ... + 11514.

It is an arithmetic number, because the mean of its divisors is an integer number (3258441).

Almost surely, 255501520 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 55501520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65168820).

55501520 is an abundant number, since it is smaller than the sum of its proper divisors (74836120).

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

55501520 is a wasteful number, since it uses less digits than its factorization.

55501520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6983 (or 6977 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 23.

The square root of 55501520 is about 7449.9342278976. The cubic root of 55501520 is about 381.4476635141.

The spelling of 55501520 in words is "fifty-five million, five hundred one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 6869 8080 13738 27476 34345 54952 68690 109904 137380 274760 549520 693769 1387538 2775076 3468845 5550152 6937690 11100304 13875380 27750760 55501520