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5233114400 = 25526541393
BaseRepresentation
bin1001101111110101…
…01111110100100000
3111111201000202101212
410313322233310200
541204134130100
62223135445252
7243452511203
oct46772576440
914451022355
105233114400
112245a58338
121020686828
1365523b5c7
1437902393a
15209652635
hex137eafd20

5233114400 has 36 divisors (see below), whose sum is σ = 12775342482. Its totient is φ = 2093245440.

The previous prime is 5233114391. The next prime is 5233114483. The reversal of 5233114400 is 44113325.

It can be written as a sum of positive squares in 3 ways, for example, as 3539298064 + 1693816336 = 59492^2 + 41156^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3269897 + ... + 3271496.

Almost surely, 25233114400 is an apocalyptic number.

5233114400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5233114400 is an abundant number, since it is smaller than the sum of its proper divisors (7542228082).

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

5233114400 is a wasteful number, since it uses less digits than its factorization.

5233114400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6541413 (or 6541400 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 5233114400 is about 72340.2681775510. The cubic root of 5233114400 is about 1736.1479943486.

Adding to 5233114400 its reverse (44113325), we get a palindrome (5277227725).

The spelling of 5233114400 in words is "five billion, two hundred thirty-three million, one hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6541393 13082786 26165572 32706965 52331144 65413930 104662288 130827860 163534825 209324576 261655720 327069650 523311440 654139300 1046622880 1308278600 2616557200 5233114400