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55071648 = 2532434447
BaseRepresentation
bin1101001000010…
…1001110100000
310211121221002200
43102011032200
5103044243043
65244213200
71236046512
oct322051640
9124557080
1055071648
11290a5165
121653a200
13b542998
147457bb2
154c7c7d3
hex34853a0

55071648 has 72 divisors (see below), whose sum is σ = 160288128. Its totient is φ = 17926272.

The previous prime is 55071641. The next prime is 55071649. The reversal of 55071648 is 84617055.

55071648 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (55071641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10161 + ... + 14607.

It is an arithmetic number, because the mean of its divisors is an integer number (2226224).

Almost surely, 255071648 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 55071648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80144064).

55071648 is an abundant number, since it is smaller than the sum of its proper divisors (105216480).

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

55071648 is a wasteful number, since it uses less digits than its factorization.

55071648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4495 counting only the distinct ones).

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

The square root of 55071648 is about 7421.0274221296. The cubic root of 55071648 is about 380.4603101410.

The spelling of 55071648 in words is "fifty-five million, seventy-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 4447 6192 8894 12384 13341 17788 26682 35576 40023 53364 71152 80046 106728 142304 160092 191221 213456 320184 382442 426912 573663 640368 764884 1147326 1280736 1529768 1720989 2294652 3059536 3441978 4589304 6119072 6883956 9178608 13767912 18357216 27535824 55071648