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742723681 = 73773163241
BaseRepresentation
bin101100010001010…
…001000001100001
31220202120021100111
4230101101001201
53010114124211
6201411051321
724256022110
oct5421210141
91822507314
10742723681
11351280327
121888a0b41
13bab4a88b
14708d9c77
1545311421
hex2c451061

742723681 has 32 divisors (see below), whose sum is σ = 892821248. Its totient is φ = 604661760.

The previous prime is 742723679. The next prime is 742723691. The reversal of 742723681 is 186327247.

It is a 10-Lehmer number, since φ(742723681) divides (742723681-1)10.

It is a cyclic number.

It is not a de Polignac number, because 742723681 - 21 = 742723679 is a prime.

It is a super-2 number, since 2×7427236812 = 1103276932636379522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (742723691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3081721 + ... + 3081961.

It is an arithmetic number, because the mean of its divisors is an integer number (27900664).

It is the magic constant of a 1141 × 1141 magic square.

Almost surely, 2742723681 is an apocalyptic number.

It is an amenable number.

742723681 is a deficient number, since it is larger than the sum of its proper divisors (150097567).

742723681 is a wasteful number, since it uses less digits than its factorization.

742723681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521.

The product of its digits is 112896, while the sum is 40.

The square root of 742723681 is about 27252.9572890723. The cubic root of 742723681 is about 905.6125320206.

The spelling of 742723681 in words is "seven hundred forty-two million, seven hundred twenty-three thousand, six hundred eighty-one".

Divisors: 1 7 37 73 163 241 259 511 1141 1687 2701 6031 8917 11899 17593 18907 39283 42217 62419 83293 123151 274981 440263 650941 1453471 2867659 3081841 4556587 10174297 20073613 106103383 742723681