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55789440 = 273572593
BaseRepresentation
bin1101010011010…
…0011110000000
310212222101201120
43110310132000
5103240230230
65311432240
71245126300
oct324643600
9125871646
1055789440
1129545483
1216825680
13b734605
1475a3600
154d70310
hex3534780

55789440 has 192 divisors, whose sum is σ = 207210960. Its totient is φ = 12730368.

The previous prime is 55789439. The next prime is 55789477. The reversal of 55789440 is 4498755.

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

It is a super-2 number, since 2×557894402 = 6224923231027200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55789392 and 55789401.

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, 93784 + ... + 94376.

Almost surely, 255789440 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 55789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103605480).

55789440 is an abundant number, since it is smaller than the sum of its proper divisors (151421520).

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

55789440 is a wasteful number, since it uses less digits than its factorization.

55789440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 55789440 is about 7469.2328923391. The cubic root of 55789440 is about 382.1061262293.

The spelling of 55789440 in words is "fifty-five million, seven hundred eighty-nine thousand, four hundred forty".