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54550656 = 273247353
BaseRepresentation
bin1101000000011…
…0000010000000
310210122110102200
43100012002000
5102431110111
65225113200
71231446546
oct320060200
9123573380
1054550656
1128879796
1216328800
13b3bc7c4
14735dd96
154bc8256
hex3406080

54550656 has 48 divisors (see below), whose sum is σ = 156978510. Its totient is φ = 18183168.

The previous prime is 54550651. The next prime is 54550667. The reversal of 54550656 is 65605545.

It is a happy number.

54550656 is a `hidden beast` number, since 54 + 550 + 6 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 968256 = 7320^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54550656.

It is not an unprimeable number, because it can be changed into a prime (54550651) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22525 + ... + 24828.

Almost surely, 254550656 is an apocalyptic number.

It is an amenable number.

54550656 is an abundant number, since it is smaller than the sum of its proper divisors (102427854).

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

54550656 is a wasteful number, since it uses less digits than its factorization.

54550656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47373 (or 47358 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 54550656 is about 7385.8415905027. The cubic root of 54550656 is about 379.2567559122.

The spelling of 54550656 in words is "fifty-four million, five hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 47353 94706 142059 189412 284118 378824 426177 568236 757648 852354 1136472 1515296 1704708 2272944 3030592 3409416 4545888 6061184 6818832 9091776 13637664 18183552 27275328 54550656