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54577116 = 223211283487
BaseRepresentation
bin1101000000110…
…0011111011100
310210200210201200
43100030133130
5102432431431
65225435500
71231616646
oct320143734
9123623650
1054577116
1128897660
121633bb90
13b3cb869
147369896
154bd0ee6
hex340c7dc

54577116 has 72 divisors (see below), whose sum is σ = 151342464. Its totient is φ = 16446240.

The previous prime is 54577097. The next prime is 54577153. The reversal of 54577116 is 61177545.

54577116 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 (36).

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 23 ways as a sum of consecutive naturals, for example, 111825 + ... + 112311.

Almost surely, 254577116 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 54577116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75671232).

54577116 is an abundant number, since it is smaller than the sum of its proper divisors (96765348).

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

54577116 is a wasteful number, since it uses less digits than its factorization.

54577116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The square root of 54577116 is about 7387.6326384032. The cubic root of 54577116 is about 379.3180659703.

The spelling of 54577116 in words is "fifty-four million, five hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 283 396 487 566 849 974 1132 1461 1698 1948 2547 2922 3113 3396 4383 5094 5357 5844 6226 8766 9339 10188 10714 12452 16071 17532 18678 21428 28017 32142 37356 48213 56034 64284 96426 112068 137821 192852 275642 413463 551284 826926 1240389 1516031 1653852 2480778 3032062 4548093 4961556 6064124 9096186 13644279 18192372 27288558 54577116