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55989360 = 2433572232
BaseRepresentation
bin1101010110010…
…1010001110000
310220100112222000
43111211101300
5103313124420
65320014000
71246621200
oct325452160
9126315860
1055989360
11296716a9
1216901300
13b7a45cb
147616400
154dae690
hex3565470

55989360 has 360 divisors, whose sum is σ = 234516240. Its totient is φ = 12241152.

The previous prime is 55989341. The next prime is 55989377. The reversal of 55989360 is 6398955.

55989360 is a `hidden beast` number, since 559 + 8 + 93 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2434309 + ... + 2434331.

It is an arithmetic number, because the mean of its divisors is an integer number (651434).

Almost surely, 255989360 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 55989360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117258120).

55989360 is an abundant number, since it is smaller than the sum of its proper divisors (178526880).

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

55989360 is a wasteful number, since it uses less digits than its factorization.

55989360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 55989360 is about 7482.6038248727. The cubic root of 55989360 is about 382.5620045581.

The spelling of 55989360 in words is "fifty-five million, nine hundred eighty-nine thousand, three hundred sixty".