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766072242 = 23413363757
BaseRepresentation
bin101101101010010…
…101010110110010
31222101111111120000
4231222111112302
53032103302432
6204003330430
724661335525
oct5552252662
91871444500
10766072242
11363478461
12194680a16
13c29341b0
1473a56bbc
15473c457c
hex2da955b2

766072242 has 40 divisors (see below), whose sum is σ = 1848618156. Its totient is φ = 235713888.

The previous prime is 766072189. The next prime is 766072259. The reversal of 766072242 is 242270667.

766072242 is a `hidden beast` number, since 7 + 6 + 607 + 2 + 2 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 700607961 + 65464281 = 26469^2 + 8091^2 .

It is a junction number, because it is equal to n+sod(n) for n = 766072197 and 766072206.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179773 + ... + 183984.

Almost surely, 2766072242 is an apocalyptic number.

766072242 is an abundant number, since it is smaller than the sum of its proper divisors (1082545914).

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

766072242 is a wasteful number, since it uses less digits than its factorization.

766072242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363784 (or 363775 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 766072242 is about 27678.0100802063. The cubic root of 766072242 is about 915.0045256428.

The spelling of 766072242 in words is "seven hundred sixty-six million, seventy-two thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 363757 727514 1091271 2182542 3273813 4728841 6547626 9457682 9821439 14186523 19642878 28373046 29464317 42559569 58928634 85119138 127678707 255357414 383036121 766072242