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2542386231 = 337111222889
BaseRepresentation
bin1001011110001001…
…1011110000110111
320120011221121021000
42113202123300313
520201322324411
61100140054343
7120000632520
oct22742336067
96504847230
102542386231
111095124450
125ab5343b3
13316950168
141a1925847
15ed2ee956
hex9789bc37

2542386231 has 32 divisors (see below), whose sum is σ = 4695897600. Its totient is φ = 1320719040.

The previous prime is 2542386211. The next prime is 2542386263. The reversal of 2542386231 is 1326832452.

2542386231 is a `hidden beast` number, since 2 + 5 + 4 + 23 + 8 + 623 + 1 = 666.

It is not a de Polignac number, because 2542386231 - 27 = 2542386103 is a prime.

It is a super-2 number, since 2×25423862312 = 12927455495156770722, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542386211) 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, 609366 + ... + 613523.

It is an arithmetic number, because the mean of its divisors is an integer number (146746800).

Almost surely, 22542386231 is an apocalyptic number.

2542386231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2542386231 is a deficient number, since it is larger than the sum of its proper divisors (2153511369).

2542386231 is a wasteful number, since it uses less digits than its factorization.

2542386231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222916 (or 1222910 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2542386231 is about 50422.0807880833. The cubic root of 2542386231 is about 1364.8361257200.

The spelling of 2542386231 in words is "two billion, five hundred forty-two million, three hundred eighty-six thousand, two hundred thirty-one".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 1222889 3668667 8560223 11006001 13451779 25680669 33018003 40355337 77042007 94162453 121066011 231126021 282487359 363198033 847462077 2542386231