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61426431 = 341171971
BaseRepresentation
bin1110101001010…
…0101011111111
311021120210020000
43222110223333
5111211121211
610032325343
71344054543
oct352245377
9137523200
1061426431
1131745650
12186a3853
13c959301
14822da23
1555d5656
hex3a94aff

61426431 has 40 divisors (see below), whose sum is σ = 101616768. Its totient is φ = 36666000.

The previous prime is 61426429. The next prime is 61426439. The reversal of 61426431 is 13462416.

61426431 is a `hidden beast` number, since 6 + 14 + 2 + 643 + 1 = 666.

It is not a de Polignac number, because 61426431 - 21 = 61426429 is a prime.

It is a super-2 number, since 2×614264312 = 7546412850795522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61426395 and 61426404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61426439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62776 + ... + 63746.

Almost surely, 261426431 is an apocalyptic number.

61426431 is a deficient number, since it is larger than the sum of its proper divisors (40190337).

61426431 is a wasteful number, since it uses less digits than its factorization.

61426431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 61426431 is about 7837.5015789472. The cubic root of 61426431 is about 394.5648811156.

Adding to 61426431 its reverse (13462416), we get a palindrome (74888847).

The spelling of 61426431 in words is "sixty-one million, four hundred twenty-six thousand, four hundred thirty-one".

Divisors: 1 3 9 11 27 33 71 81 99 213 297 639 781 891 971 1917 2343 2913 5751 7029 8739 10681 21087 26217 32043 63261 68941 78651 96129 206823 288387 620469 758351 865161 1861407 2275053 5584221 6825159 20475477 61426431