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61480431 = 3322310211
BaseRepresentation
bin1110101010000…
…1110111101111
311021200112022000
43222201313233
5111214333211
610033423343
71344401145
oct352416757
9137615260
1061480431
1131782181
121870ab53
13c977a6c
148245595
1555e6656
hex3aa1def

61480431 has 16 divisors (see below), whose sum is σ = 91499520. Its totient is φ = 40799160.

The previous prime is 61480423. The next prime is 61480439. The reversal of 61480431 is 13408416.

61480431 is a `hidden beast` number, since 614 + 8 + 0 + 43 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (61480423) and next prime (61480439).

It is not a de Polignac number, because 61480431 - 23 = 61480423 is a prime.

It is a super-2 number, since 2×614804312 = 7559686791891522, 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 = 61480395 and 61480404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61480439) 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 15 ways as a sum of consecutive naturals, for example, 916 + ... + 11126.

It is an arithmetic number, because the mean of its divisors is an integer number (5718720).

Almost surely, 261480431 is an apocalyptic number.

61480431 is a deficient number, since it is larger than the sum of its proper divisors (30019089).

61480431 is a wasteful number, since it uses less digits than its factorization.

61480431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10443 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61480431 is about 7840.9457975425. The cubic root of 61480431 is about 394.6804679662.

Adding to 61480431 its reverse (13408416), we get a palindrome (74888847).

The spelling of 61480431 in words is "sixty-one million, four hundred eighty thousand, four hundred thirty-one".

Divisors: 1 3 9 27 223 669 2007 6021 10211 30633 91899 275697 2277053 6831159 20493477 61480431