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54119616 = 2632511123
BaseRepresentation
bin1100111001110…
…0110011000000
310202211120011020
43032130303000
5102323311431
65211545440
71225003065
oct316346300
9122746136
1054119616
1128604961
121615b280
13b29b555
14728ac6c
154b40696
hex339ccc0

54119616 has 56 divisors (see below), whose sum is σ = 143889984. Its totient is φ = 17952000.

The previous prime is 54119603. The next prime is 54119651. The reversal of 54119616 is 61691145.

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47631 + ... + 48753.

It is an arithmetic number, because the mean of its divisors is an integer number (2569464).

Almost surely, 254119616 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 54119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71944992).

54119616 is an abundant number, since it is smaller than the sum of its proper divisors (89770368).

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

54119616 is a wasteful number, since it uses less digits than its factorization.

54119616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1379 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 54119616 is about 7356.6035641456. The cubic root of 54119616 is about 378.2551956641.

The spelling of 54119616 in words is "fifty-four million, one hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 251 502 753 1004 1123 1506 2008 2246 3012 3369 4016 4492 6024 6738 8032 8984 12048 13476 16064 17968 24096 26952 35936 48192 53904 71872 107808 215616 281873 563746 845619 1127492 1691238 2254984 3382476 4509968 6764952 9019936 13529904 18039872 27059808 54119616