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54476416 = 27616977
BaseRepresentation
bin1100111111001…
…1111010000000
310210111200121001
43033303322000
5102421221131
65223341344
71231020241
oct317637200
9123450531
1054476416
1128828a35
12162b1854
13b394a87
147340cc8
154bb1261
hex33f3e80

54476416 has 32 divisors (see below), whose sum is σ = 110322180. Its totient is φ = 26787840.

The previous prime is 54476407. The next prime is 54476417. The reversal of 54476416 is 61467445.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 10916416 = 6600^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (54476417) 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, 4320 + ... + 11296.

Almost surely, 254476416 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 54476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55161090).

54476416 is an abundant number, since it is smaller than the sum of its proper divisors (55845764).

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

54476416 is an equidigital number, since it uses as much as digits as its factorization.

54476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7052 (or 7040 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 54476416 is about 7380.8140472444. The cubic root of 54476416 is about 379.0846296345.

The spelling of 54476416 in words is "fifty-four million, four hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 6977 7808 13954 27908 55816 111632 223264 425597 446528 851194 893056 1702388 3404776 6809552 13619104 27238208 54476416