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54119296 = 2771117219
BaseRepresentation
bin1100111001110…
…0101110000000
310202211112201101
43032130232000
5102323304141
65211544144
71225002130
oct316345600
9122745641
1054119296
11286046a0
121615b054
13b29b36a
14728aac0
154b40531
hex339cb80

54119296 has 192 divisors, whose sum is σ = 150307200. Its totient is φ = 18800640.

The previous prime is 54119293. The next prime is 54119309. The reversal of 54119296 is 69291145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54119291) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2848375 + ... + 2848393.

It is an arithmetic number, because the mean of its divisors is an integer number (782850).

Almost surely, 254119296 is an apocalyptic number.

54119296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54119296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75153600).

54119296 is an abundant number, since it is smaller than the sum of its proper divisors (96187904).

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

54119296 is a wasteful number, since it uses less digits than its factorization.

54119296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 56 counting only the distinct ones).

The product of its digits is 19440, while the sum is 37.

The square root of 54119296 is about 7356.5818149464. The cubic root of 54119296 is about 378.2544501433.

The spelling of 54119296 in words is "fifty-four million, one hundred nineteen thousand, two hundred ninety-six".