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755315568 = 2432747107149
BaseRepresentation
bin101101000001010…
…011001101110000
31221122021000011200
4231001103031300
53021330044233
6202541011200
724501035130
oct5501231560
91848230150
10755315568
113583a0847
12190b53b00
13c06390b7
1472456ac0
154649c313
hex2d053370

755315568 has 240 divisors, whose sum is σ = 2506982400. Its totient is φ = 207834624.

The previous prime is 755315563. The next prime is 755315573. The reversal of 755315568 is 865513557.

755315568 is a `hidden beast` number, since 7 + 5 + 531 + 55 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (755315563) and next prime (755315573).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (630000) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (755315563) 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 47 ways as a sum of consecutive naturals, for example, 5069158 + ... + 5069306.

It is an arithmetic number, because the mean of its divisors is an integer number (10445760).

Almost surely, 2755315568 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 755315568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253491200).

755315568 is an abundant number, since it is smaller than the sum of its proper divisors (1751666832).

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

755315568 is a wasteful number, since it uses less digits than its factorization.

755315568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its digits is 630000, while the sum is 45.

The square root of 755315568 is about 27483.0050758646. The cubic root of 755315568 is about 910.7016960369.

The spelling of 755315568 in words is "seven hundred fifty-five million, three hundred fifteen thousand, five hundred sixty-eight".