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750199968 = 25347173239
BaseRepresentation
bin101100101101110…
…010010010100000
31221021122002220000
4230231302102200
53014022344333
6202235220000
724406410630
oct5455622240
91837562800
10750199968
11355517381
1218b2a7600
13bc56780b
14718c46c0
1545cdb713
hex2cb724a0

750199968 has 240 divisors, whose sum is σ = 2546691840. Its totient is φ = 212212224.

The previous prime is 750199963. The next prime is 750199991. The reversal of 750199968 is 869991057.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (750199963) 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 39 ways as a sum of consecutive naturals, for example, 3138793 + ... + 3139031.

It is an arithmetic number, because the mean of its divisors is an integer number (10611216).

Almost surely, 2750199968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 750199968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273345920).

750199968 is an abundant number, since it is smaller than the sum of its proper divisors (1796491872).

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

750199968 is a wasteful number, since it uses less digits than its factorization.

750199968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 750199968 is about 27389.7785314157. The cubic root of 750199968 is about 908.6410372342.

The spelling of 750199968 in words is "seven hundred fifty million, one hundred ninety-nine thousand, nine hundred sixty-eight".