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4253411200 = 27527197193
BaseRepresentation
bin1111110110000101…
…1110011110000000
3101222102112200021011
43331201132132000
532202333124300
61542021210304
7210255253513
oct37541363600
911872480234
104253411200
111892a37875
129a8560994
1352a28997c
142c4c7ad7a
1519d62eeba
hexfd85e780

4253411200 has 192 divisors, whose sum is σ = 10820869920. Its totient is φ = 1651507200.

The previous prime is 4253411167. The next prime is 4253411219. The reversal of 4253411200 is 21143524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22038304 + ... + 22038496.

Almost surely, 24253411200 is an apocalyptic number.

4253411200 is a gapful number since it is divisible by the number (40) 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 4253411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410434960).

4253411200 is an abundant number, since it is smaller than the sum of its proper divisors (6567458720).

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

4253411200 is a wasteful number, since it uses less digits than its factorization.

4253411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4253411200 is about 65218.1815140533. The cubic root of 4253411200 is about 1620.2391558726.

Adding to 4253411200 its reverse (21143524), we get a palindrome (4274554724).

The spelling of 4253411200 in words is "four billion, two hundred fifty-three million, four hundred eleven thousand, two hundred".