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5729200 = 245214323
BaseRepresentation
bin10101110110101110110000
3101210001222121
4111312232300
52431313300
6322444024
766461131
oct25665660
911701877
105729200
113263484
121b03614
131257979
14a91c88
1578281a
hex576bb0

5729200 has 30 divisors (see below), whose sum is σ = 13765364. Its totient is φ = 2291520.

The previous prime is 5729189. The next prime is 5729201. The reversal of 5729200 is 29275.

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

It is not an unprimeable number, because it can be changed into a prime (5729201) 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 5 ways as a sum of consecutive naturals, for example, 6762 + ... + 7561.

Almost surely, 25729200 is an apocalyptic number.

5729200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5729200 is an abundant number, since it is smaller than the sum of its proper divisors (8036164).

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

5729200 is a wasteful number, since it uses less digits than its factorization.

5729200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14341 (or 14330 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 5729200 is about 2393.5747324870. The cubic root of 5729200 is about 178.9361111112.

It can be divided in two parts, 5729 and 200, that added together give a square (5929 = 772).

The spelling of 5729200 in words is "five million, seven hundred twenty-nine thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 14323 28646 57292 71615 114584 143230 229168 286460 358075 572920 716150 1145840 1432300 2864600 5729200