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54430400 = 265234019
BaseRepresentation
bin1100111110100…
…0101011000000
310210102100110202
43033220223000
5102413233100
65222344332
71230436133
oct317505300
9123370422
1054430400
11287a7402
121628b0a8
13b379b4b
14732c21a
154ba27d5
hex33e8ac0

54430400 has 42 divisors (see below), whose sum is σ = 133936740. Its totient is φ = 21771520.

The previous prime is 54430399. The next prime is 54430423. The reversal of 54430400 is 403445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15410 + ... + 18609.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 254430400 is an apocalyptic number.

54430400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54430400 is an abundant number, since it is smaller than the sum of its proper divisors (79506340).

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

54430400 is a wasteful number, since it uses less digits than its factorization.

54430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34041 (or 34026 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 54430400 is about 7377.6961173526. The cubic root of 54430400 is about 378.9778625017.

Adding to 54430400 its reverse (403445), we get a palindrome (54833845).

The spelling of 54430400 in words is "fifty-four million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 34019 68038 136076 170095 272152 340190 544304 680380 850475 1088608 1360760 1700950 2177216 2721520 3401900 5443040 6803800 10886080 13607600 27215200 54430400