Search a number
-
+
55664500 = 2253163683
BaseRepresentation
bin1101010001010…
…1111101110100
310212202001100011
43110111331310
5103222231000
65305030004
71244066113
oct324257564
9125661304
1055664500
112946a621
1216785304
13b6bc798
14756dc7a
154d482ba
hex3515f74

55664500 has 48 divisors (see below), whose sum is σ = 122496192. Its totient is φ = 22096800.

The previous prime is 55664473. The next prime is 55664527. The reversal of 55664500 is 546655.

It is an interprime number because it is at equal distance from previous prime (55664473) and next prime (55664527).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81159 + ... + 81841.

It is an arithmetic number, because the mean of its divisors is an integer number (2552004).

Almost surely, 255664500 is an apocalyptic number.

55664500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55664500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61248096).

55664500 is an abundant number, since it is smaller than the sum of its proper divisors (66831692).

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

55664500 is a wasteful number, since it uses less digits than its factorization.

55664500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The square root of 55664500 is about 7460.8645611618. The cubic root of 55664500 is about 381.8206718384.

It can be divided in two parts, 556 and 64500, that added together give a palindrome (65056).

The spelling of 55664500 in words is "fifty-five million, six hundred sixty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 163 250 326 500 652 683 815 1366 1630 2732 3260 3415 4075 6830 8150 13660 16300 17075 20375 34150 40750 68300 81500 85375 111329 170750 222658 341500 445316 556645 1113290 2226580 2783225 5566450 11132900 13916125 27832250 55664500