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54830688 = 25311137379
BaseRepresentation
bin1101000100101…
…0011001100000
310211011200120020
43101022121200
5103014040223
65235113440
71234024143
oct321123140
9124150506
1054830688
1128a50120
1216442880
13b48a0c3
1473d405a
154c311e3
hex344a660

54830688 has 96 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 16450560.

The previous prime is 54830683. The next prime is 54830701. The reversal of 54830688 is 88603845.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54830681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144483 + ... + 144861.

It is an arithmetic number, because the mean of its divisors is an integer number (1651860).

Almost surely, 254830688 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 54830688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

54830688 is an abundant number, since it is smaller than the sum of its proper divisors (103747872).

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

54830688 is a wasteful number, since it uses less digits than its factorization.

54830688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 54830688 is about 7404.7746758426. The cubic root of 54830688 is about 379.9046113297.

The spelling of 54830688 in words is "fifty-four million, eight hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 137 176 264 274 352 379 411 528 548 758 822 1056 1096 1137 1507 1516 1644 2192 2274 3014 3032 3288 4169 4384 4521 4548 6028 6064 6576 8338 9042 9096 12056 12128 12507 13152 16676 18084 18192 24112 25014 33352 36168 36384 48224 50028 51923 66704 72336 100056 103846 133408 144672 155769 200112 207692 311538 400224 415384 571153 623076 830768 1142306 1246152 1661536 1713459 2284612 2492304 3426918 4569224 4984608 6853836 9138448 13707672 18276896 27415344 54830688