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4268200 = 235221341
BaseRepresentation
bin10000010010000010101000
322000211212111
4100102002220
52043040300
6231252104
751164506
oct20220250
98024774
104268200
112455842
12151a034
13b65981
147d1676
155949ba
hex4120a8

4268200 has 24 divisors (see below), whose sum is σ = 9924030. Its totient is φ = 1707200.

The previous prime is 4268197. The next prime is 4268213. The reversal of 4268200 is 28624.

It can be written as a sum of positive squares in 3 ways, for example, as 4137156 + 131044 = 2034^2 + 362^2 .

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, 10471 + ... + 10870.

Almost surely, 24268200 is an apocalyptic number.

4268200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4268200 is an abundant number, since it is smaller than the sum of its proper divisors (5655830).

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

4268200 is a wasteful number, since it uses less digits than its factorization.

4268200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21357 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4268200 is about 2065.9622455408. The cubic root of 4268200 is about 162.2114801447.

The spelling of 4268200 in words is "four million, two hundred sixty-eight thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 21341 42682 85364 106705 170728 213410 426820 533525 853640 1067050 2134100 4268200