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655695648 = 2535374353
BaseRepresentation
bin100111000101010…
…001111100100000
31200200210210100000
4213011101330200
52320324230043
6145021500000
722151215056
oct4705217440
91620723300
10655695648
11307139933
12163711600
13a5ac95ba
14631241d6
153c8702d3
hex27151f20

655695648 has 288 divisors, whose sum is σ = 2070484416. Its totient is φ = 203793408.

The previous prime is 655695619. The next prime is 655695659. The reversal of 655695648 is 846596556.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6556956482 = 859873565612279808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 655695594 and 655695603.

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 47 ways as a sum of consecutive naturals, for example, 12371590 + ... + 12371642.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2655695648 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 655695648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035242208).

655695648 is an abundant number, since it is smaller than the sum of its proper divisors (1414788768).

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

655695648 is a wasteful number, since it uses less digits than its factorization.

655695648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its digits is 7776000, while the sum is 54.

The square root of 655695648 is about 25606.5547858356. The cubic root of 655695648 is about 868.7619012016.

It can be divided in two parts, 65569 and 5648, that added together give a palindrome (71217).

The spelling of 655695648 in words is "six hundred fifty-five million, six hundred ninety-five thousand, six hundred forty-eight".