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54110144 = 2611101761
BaseRepresentation
bin1100111001101…
…0011111000000
310202211002011102
43032122133000
5102323011034
65211433532
71224633344
oct316323700
9122732142
1054110144
11285a8830
12161558a8
13b29714a
147287624
154b3c97e
hex339a7c0

54110144 has 56 divisors (see below), whose sum is σ = 118451376. Its totient is φ = 24320000.

The previous prime is 54110141. The next prime is 54110149. The reversal of 54110144 is 44101145.

54110144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54110141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70724 + ... + 71484.

Almost surely, 254110144 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 54110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59225688).

54110144 is an abundant number, since it is smaller than the sum of its proper divisors (64341232).

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

54110144 is a wasteful number, since it uses less digits than its factorization.

54110144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 54110144 is about 7355.9597606295. The cubic root of 54110144 is about 378.2331270039.

Adding to 54110144 its reverse (44101145), we get a palindrome (98211289).

It can be divided in two parts, 541101 and 44, that added together give a palindrome (541145).

The spelling of 54110144 in words is "fifty-four million, one hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 176 202 352 404 704 761 808 1111 1522 1616 2222 3044 3232 4444 6088 6464 8371 8888 12176 16742 17776 24352 33484 35552 48704 66968 71104 76861 133936 153722 267872 307444 535744 614888 845471 1229776 1690942 2459552 3381884 4919104 6763768 13527536 27055072 54110144