Search a number
-
+
54454272 = 21138863
BaseRepresentation
bin1100111110111…
…0100000000000
310210110120012220
43033232200000
5102420014042
65223051040
71230565545
oct317564000
9123416186
1054454272
1128813334
12162a0a80
13b387982
147336bcc
154ba98ec
hex33ee800

54454272 has 48 divisors (see below), whose sum is σ = 145192320. Its totient is φ = 18149376.

The previous prime is 54454249. The next prime is 54454289. The reversal of 54454272 is 27245445.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1713 + ... + 10575.

It is an arithmetic number, because the mean of its divisors is an integer number (3024840).

Almost surely, 254454272 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 54454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72596160).

54454272 is an abundant number, since it is smaller than the sum of its proper divisors (90738048).

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

54454272 is an equidigital number, since it uses as much as digits as its factorization.

54454272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888 (or 8868 counting only the distinct ones).

The product of its digits is 44800, while the sum is 33.

The square root of 54454272 is about 7379.3137892354. The cubic root of 54454272 is about 379.0332582441.

The spelling of 54454272 in words is "fifty-four million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 8863 17726 26589 35452 53178 70904 106356 141808 212712 283616 425424 567232 850848 1134464 1701696 2268928 3403392 4537856 6806784 9075712 13613568 18151424 27227136 54454272