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55391616 = 273276869
BaseRepresentation
bin1101001101001…
…1010110000000
310212020012000100
43103103112000
5103140012431
65255122400
71241551410
oct323232600
9125205010
1055391616
11292a35a5
1216673400
13b625507
1474dc640
154ce24e6
hex34d3580

55391616 has 96 divisors (see below), whose sum is σ = 182192400. Its totient is φ = 15823872.

The previous prime is 55391603. The next prime is 55391617. The reversal of 55391616 is 61619355.

55391616 is a `hidden beast` number, since 5 + 5 + 39 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×553916162 = 6136462246182912, which contains 22 as substring.

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 (55391617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4630 + ... + 11498.

Almost surely, 255391616 is an apocalyptic number.

55391616 is a gapful number since it is divisible by the number (56) 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 55391616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91096200).

55391616 is an abundant number, since it is smaller than the sum of its proper divisors (126800784).

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

55391616 is a wasteful number, since it uses less digits than its factorization.

55391616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6896 (or 6881 counting only the distinct ones).

The product of its digits is 24300, while the sum is 36.

The square root of 55391616 is about 7442.5544002043. The cubic root of 55391616 is about 381.1957165032.

The spelling of 55391616 in words is "fifty-five million, three hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 896 1008 1152 1344 2016 2688 4032 6869 8064 13738 20607 27476 41214 48083 54952 61821 82428 96166 109904 123642 144249 164856 192332 219808 247284 288498 329712 384664 432747 439616 494568 576996 659424 769328 865494 879232 989136 1153992 1318848 1538656 1730988 1978272 2307984 2637696 3077312 3461976 3956544 4615968 6154624 6923952 7913088 9231936 13847904 18463872 27695808 55391616