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55077376 = 29971109
BaseRepresentation
bin1101001000011…
…0101000000000
310211122012221211
43102012220000
5103044434001
65244255504
71236102304
oct322065000
9124565854
1055077376
11290a94a2
1216541594
13b545483
147459d04
154c7e351
hex3486a00

55077376 has 40 divisors (see below), whose sum is σ = 111281940. Its totient is φ = 27230208.

The previous prime is 55077329. The next prime is 55077377. The reversal of 55077376 is 67377055.

It can be written as a sum of positive squares in 2 ways, for example, as 48441600 + 6635776 = 6960^2 + 2576^2 .

It is not an unprimeable number, because it can be changed into a prime (55077377) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49110 + ... + 50218.

Almost surely, 255077376 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 55077376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55640970).

55077376 is an abundant number, since it is smaller than the sum of its proper divisors (56204564).

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

55077376 is an equidigital number, since it uses as much as digits as its factorization.

55077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 40.

The square root of 55077376 is about 7421.4133424840. The cubic root of 55077376 is about 380.4735002378.

The spelling of 55077376 in words is "fifty-five million, seventy-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1109 1552 2218 3104 4436 6208 8872 12416 17744 24832 35488 49664 70976 107573 141952 215146 283904 430292 567808 860584 1721168 3442336 6884672 13769344 27538688 55077376