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741986568 = 23347691489
BaseRepresentation
bin101100001110011…
…101000100001000
31220201011211020000
4230032131010020
53004422032233
6201343203000
724246532101
oct5416350410
91821154200
10741986568
11350917544
121885a6460
13ba95020b
14707873a8
1545217d13
hex2c39d108

741986568 has 80 divisors (see below), whose sum is σ = 2082349500. Its totient is φ = 246841344.

The previous prime is 741986563. The next prime is 741986579. The reversal of 741986568 is 865689147.

741986568 is a `hidden beast` number, since 74 + 1 + 9 + 8 + 6 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 710648964 + 31337604 = 26658^2 + 5598^2 .

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

It is not an unprimeable number, because it can be changed into a prime (741986563) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 497568 + ... + 499056.

Almost surely, 2741986568 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 741986568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041174750).

741986568 is an abundant number, since it is smaller than the sum of its proper divisors (1340362932).

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

741986568 is a wasteful number, since it uses less digits than its factorization.

741986568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2263 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The square root of 741986568 is about 27239.4303905203. The cubic root of 741986568 is about 905.3128424046.

The spelling of 741986568 in words is "seven hundred forty-one million, nine hundred eighty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 769 1489 1538 2307 2978 3076 4467 4614 5956 6152 6921 8934 9228 11912 13401 13842 17868 18456 20763 26802 27684 35736 40203 41526 53604 55368 62289 80406 83052 107208 120609 124578 160812 166104 241218 249156 321624 482436 498312 964872 1145041 2290082 3435123 4580164 6870246 9160328 10305369 13740492 20610738 27480984 30916107 41221476 61832214 82442952 92748321 123664428 185496642 247328856 370993284 741986568