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61456457 = 293349601
BaseRepresentation
bin1110101001110…
…0000001001001
311021122022102002
43222130001021
5111213101312
610033120345
71344241226
oct352340111
9137568362
1061456457
1131766167
12186b90b5
13c969b8a
14823a94d
1555de4c2
hex3a9c049

61456457 has 8 divisors (see below), whose sum is σ = 61945800. Its totient is φ = 60969600.

The previous prime is 61456441. The next prime is 61456459. The reversal of 61456457 is 75465416.

It can be written as a sum of positive squares in 4 ways, for example, as 42237001 + 19219456 = 6499^2 + 4384^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 61456457 - 24 = 61456441 is a prime.

It is a super-2 number, since 2×614564572 = 7553792213985698, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 61456457.

It is not an unprimeable number, because it can be changed into a prime (61456459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101957 + ... + 102557.

It is an arithmetic number, because the mean of its divisors is an integer number (7743225).

Almost surely, 261456457 is an apocalyptic number.

It is an amenable number.

61456457 is a deficient number, since it is larger than the sum of its proper divisors (489343).

61456457 is a wasteful number, since it uses less digits than its factorization.

61456457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243.

The product of its digits is 100800, while the sum is 38.

The square root of 61456457 is about 7839.4168788246. The cubic root of 61456457 is about 394.6291600430.

The spelling of 61456457 in words is "sixty-one million, four hundred fifty-six thousand, four hundred fifty-seven".

Divisors: 1 293 349 601 102257 176093 209749 61456457