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54154272 = 253312587
BaseRepresentation
bin1100111010010…
…1010000100000
310202220022200210
43032211100200
5102330414042
65212414120
71225206114
oct316452040
9122808623
1054154272
11286289a7
1216177340
13b2b1263
147299744
154b4aa9c
hex33a5420

54154272 has 72 divisors (see below), whose sum is σ = 147138768. Its totient is φ = 17439360.

The previous prime is 54154253. The next prime is 54154279. The reversal of 54154272 is 27245145.

It is not an unprimeable number, because it can be changed into a prime (54154279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91963 + ... + 92549.

It is an arithmetic number, because the mean of its divisors is an integer number (2043594).

Almost surely, 254154272 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 54154272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73569384).

54154272 is an abundant number, since it is smaller than the sum of its proper divisors (92984496).

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

54154272 is a wasteful number, since it uses less digits than its factorization.

54154272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 623 counting only the distinct ones).

The product of its digits is 11200, while the sum is 30.

The square root of 54154272 is about 7358.9586219791. The cubic root of 54154272 is about 378.3359181816.

The spelling of 54154272 in words is "fifty-four million, one hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 587 744 961 992 1174 1488 1761 1922 2348 2883 2976 3522 3844 4696 5766 7044 7688 9392 11532 14088 15376 18197 18784 23064 28176 30752 36394 46128 54591 56352 72788 92256 109182 145576 218364 291152 436728 564107 582304 873456 1128214 1692321 1746912 2256428 3384642 4512856 6769284 9025712 13538568 18051424 27077136 54154272