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55438992 = 24367297
BaseRepresentation
bin1101001101111…
…0111010010000
310212022121000000
43103132322100
5103143021432
65300130000
71242136500
oct323367220
9125277000
1055438992
1129326154
1216696900
13b640c4b
147511a00
154d0157c
hex34dee90

55438992 has 210 divisors, whose sum is σ = 189270438. Its totient is φ = 15676416.

The previous prime is 55438973. The next prime is 55439009. The reversal of 55438992 is 29983455.

55438992 is a `hidden beast` number, since 554 + 3 + 8 + 9 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 9144576 = 6804^2 + 3024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 571488 + ... + 571584.

Almost surely, 255438992 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 55438992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94635219).

55438992 is an abundant number, since it is smaller than the sum of its proper divisors (133831446).

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

55438992 is an equidigital number, since it uses as much as digits as its factorization.

55438992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 55438992 is about 7445.7364981579. The cubic root of 55438992 is about 381.3043634025.

It can be divided in two parts, 5543 and 8992, that added together give a triangular number (14535 = T170).

The spelling of 55438992 in words is "fifty-five million, four hundred thirty-eight thousand, nine hundred ninety-two".