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5239230400 = 265231110529
BaseRepresentation
bin1001110000100100…
…00100111111000000
3111112010112110222101
410320102010333000
541212220333100
62223514520144
7243555503125
oct47022047700
914463473871
105239230400
112249455388
121022736054
136565a0341
14379b7674c
15209e5e86a
hex138484fc0

5239230400 has 84 divisors (see below), whose sum is σ = 12934462320. Its totient is φ = 2088755200.

The previous prime is 5239230349. The next prime is 5239230401. The reversal of 5239230400 is 40329325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5239230401) 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, 492336 + ... + 502864.

Almost surely, 25239230400 is an apocalyptic number.

5239230400 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 5239230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6467231160).

5239230400 is an abundant number, since it is smaller than the sum of its proper divisors (7695231920).

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

5239230400 is a wasteful number, since it uses less digits than its factorization.

5239230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10847 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 5239230400 is about 72382.5282785839. The cubic root of 5239230400 is about 1736.8240829667.

Adding to 5239230400 its reverse (40329325), we get a palindrome (5279559725).

The spelling of 5239230400 in words is "five billion, two hundred thirty-nine million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 311 320 400 622 800 1244 1555 1600 2488 3110 4976 6220 7775 9952 10529 12440 15550 19904 21058 24880 31100 42116 49760 52645 62200 84232 99520 105290 124400 168464 210580 248800 263225 336928 421160 497600 526450 673856 842320 1052900 1684640 2105800 3274519 3369280 4211600 6549038 8423200 13098076 16372595 16846400 26196152 32745190 52392304 65490380 81862975 104784608 130980760 163725950 209569216 261961520 327451900 523923040 654903800 1047846080 1309807600 2619615200 5239230400