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54031840 = 255379127
BaseRepresentation
bin1100111000011…
…1010111100000
310202200002202021
43032013113200
5102313004330
65210031224
71224156142
oct316072740
9122602667
1054031840
1128554a15
1216118514
13b26a605
147266c92
154b2467a
hex33875e0

54031840 has 48 divisors (see below), whose sum is σ = 131114592. Its totient is φ = 21026304.

The previous prime is 54031823. The next prime is 54031847. The reversal of 54031840 is 4813045.

54031840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54031847) 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, 1357 + ... + 10483.

It is an arithmetic number, because the mean of its divisors is an integer number (2731554).

Almost surely, 254031840 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 54031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65557296).

54031840 is an abundant number, since it is smaller than the sum of its proper divisors (77082752).

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

54031840 is a wasteful number, since it uses less digits than its factorization.

54031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9179 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 54031840 is about 7350.6353466894. The cubic root of 54031840 is about 378.0505890505.

Adding to 54031840 its reverse (4813045), we get a palindrome (58844885).

The spelling of 54031840 in words is "fifty-four million, thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 9127 18254 36508 45635 73016 91270 146032 182540 292064 337699 365080 675398 730160 1350796 1460320 1688495 2701592 3376990 5403184 6753980 10806368 13507960 27015920 54031840