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55016016 = 24311293593
BaseRepresentation
bin1101000111011…
…1101001010000
310211112002210020
43101313221100
5103041003031
65243103440
71235425356
oct321675120
9124462706
1055016016
1129067390
1216511b80
13b523573
1474417d6
154c6b096
hex3477a50

55016016 has 80 divisors (see below), whose sum is σ = 160436160. Its totient is φ = 16092160.

The previous prime is 55016009. The next prime is 55016021. The reversal of 55016016 is 61061055.

55016016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 13516 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (2005452).

Almost surely, 255016016 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 55016016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80218080).

55016016 is an abundant number, since it is smaller than the sum of its proper divisors (105420144).

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

55016016 is a wasteful number, since it uses less digits than its factorization.

55016016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3638 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 55016016 is about 7417.2782069975. The cubic root of 55016016 is about 380.3321564855.

The spelling of 55016016 in words is "fifty-five million, sixteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 116 132 174 176 232 264 319 348 464 528 638 696 957 1276 1392 1914 2552 3593 3828 5104 7186 7656 10779 14372 15312 21558 28744 39523 43116 57488 79046 86232 104197 118569 158092 172464 208394 237138 312591 316184 416788 474276 625182 632368 833576 948552 1146167 1250364 1667152 1897104 2292334 2500728 3438501 4584668 5001456 6877002 9169336 13754004 18338672 27508008 55016016