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55889280 = 2732531313
BaseRepresentation
bin1101010100110…
…0110110000000
310220011110200100
43111030312000
5103301424110
65313522400
71246023336
oct325146600
9126143610
1055889280
1129603497
1216873400
13b76aba5
1475cbb56
154d8ebc0
hex354cd80

55889280 has 192 divisors, whose sum is σ = 199854720. Its totient is φ = 14376960.

The previous prime is 55889269. The next prime is 55889291. The reversal of 55889280 is 8298855.

55889280 is a `hidden beast` number, since 558 + 8 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55889269) and next prime (55889291).

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

It is a super-2 number, since 2×558892802 = 6247223237836800, which contains 22 as substring.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178404 + ... + 178716.

It is an arithmetic number, because the mean of its divisors is an integer number (1040910).

Almost surely, 255889280 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 55889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99927360).

55889280 is an abundant number, since it is smaller than the sum of its proper divisors (143965440).

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

55889280 is a wasteful number, since it uses less digits than its factorization.

55889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 55889280 is about 7475.9133221299. The cubic root of 55889280 is about 382.3339276495. Note that the first 3 decimals are identical.

It can be divided in two parts, 55889 and 280, that added together give a square (56169 = 2372).

The spelling of 55889280 in words is "fifty-five million, eight hundred eighty-nine thousand, two hundred eighty".