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741125664 = 25322573353
BaseRepresentation
bin101100001011001…
…010111000100000
31220122120002021200
4230023022320200
53004212010124
6201312521200
724236315136
oct5413127040
91818502250
10741125664
11350389754
12188250200
13ba70b3c6
1470601756
15450e7bc9
hex2c2cae20

741125664 has 36 divisors (see below), whose sum is σ = 2107576926. Its totient is φ = 247041792.

The previous prime is 741125641. The next prime is 741125669. The reversal of 741125664 is 466521147.

It can be written as a sum of positive squares in only one way, i.e., 668739600 + 72386064 = 25860^2 + 8508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (741125669) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1286389 + ... + 1286964.

Almost surely, 2741125664 is an apocalyptic number.

It is an amenable number.

741125664 is an abundant number, since it is smaller than the sum of its proper divisors (1366451262).

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

741125664 is a wasteful number, since it uses less digits than its factorization.

741125664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573369 (or 2573358 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 741125664 is about 27223.6232709755. The cubic root of 741125664 is about 904.9625714301.

The spelling of 741125664 in words is "seven hundred forty-one million, one hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2573353 5146706 7720059 10293412 15440118 20586824 23160177 30880236 41173648 46320354 61760472 82347296 92640708 123520944 185281416 247041888 370562832 741125664