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5254230400 = 27522371389
BaseRepresentation
bin1001110010010110…
…10011000110000000
3111120011202120002221
410321023103012000
541230040333100
62225212220424
7244130135656
oct47113230600
914504676087
105254230400
112256970081
12102776a714
13659722993
1437bb5cdd6
1520b42401a
hex1392d3180

5254230400 has 96 divisors (see below), whose sum is σ = 13544110800. Its totient is φ = 2010286080.

The previous prime is 5254230349. The next prime is 5254230403. The reversal of 5254230400 is 40324525.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254230403) 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 11 ways as a sum of consecutive naturals, for example, 37906 + ... + 109294.

Almost surely, 25254230400 is an apocalyptic number.

5254230400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5254230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772055400).

5254230400 is an abundant number, since it is smaller than the sum of its proper divisors (8289880400).

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

5254230400 is a wasteful number, since it uses less digits than its factorization.

5254230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71436 (or 71419 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 5254230400 is about 72486.0703859714. The cubic root of 5254230400 is about 1738.4800219726.

Adding to 5254230400 its reverse (40324525), we get a palindrome (5294554925).

The spelling of 5254230400 in words is "five billion, two hundred fifty-four million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 736 800 920 1150 1472 1600 1840 2300 2944 3200 3680 4600 7360 9200 14720 18400 36800 71389 73600 142778 285556 356945 571112 713890 1142224 1427780 1641947 1784725 2284448 2855560 3283894 3569450 4568896 5711120 6567788 7138900 8209735 9137792 11422240 13135576 14277800 16419470 22844480 26271152 28555600 32838940 41048675 45688960 52542304 57111200 65677880 82097350 105084608 114222400 131355760 164194700 210169216 228444800 262711520 328389400 525423040 656778800 1050846080 1313557600 2627115200 5254230400