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55988352 = 2732753131
BaseRepresentation
bin1101010110010…
…1000010000000
310220100111120200
43111211002000
5103313111402
65320005200
71246615230
oct325450200
9126314520
1055988352
1129670972
1216900800
13b7a4004
147615cc0
154dae21c
hex3565080

55988352 has 192 divisors, whose sum is σ = 189034560. Its totient is φ = 15575040.

The previous prime is 55988351. The next prime is 55988353. The reversal of 55988352 is 25388955.

55988352 is a `hidden beast` number, since 5 + 598 + 8 + 3 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (55988351) and next prime (55988353).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 55988298 and 55988307.

It is not an unprimeable number, because it can be changed into a prime (55988351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427327 + ... + 427457.

It is an arithmetic number, because the mean of its divisors is an integer number (984555).

Almost surely, 255988352 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 55988352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94517280).

55988352 is an abundant number, since it is smaller than the sum of its proper divisors (133046208).

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

55988352 is a wasteful number, since it uses less digits than its factorization.

55988352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 196 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 55988352 is about 7482.5364683375. The cubic root of 55988352 is about 382.5597087361.

The spelling of 55988352 in words is "fifty-five million, nine hundred eighty-eight thousand, three hundred fifty-two".