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61290941 = 192412101
BaseRepresentation
bin1110100111001…
…1100110111101
311021022220100212
43221303212331
5111142302231
610025402205
71342651535
oct351634675
9137286325
1061290941
1131662878
1218639365
13c90c73a
1481d64c5
1555aa42b
hex3a739bd

61290941 has 18 divisors (see below), whose sum is σ = 66959226. Its totient is φ = 56088000.

The previous prime is 61290919. The next prime is 61291003. The reversal of 61290941 is 14909216.

It can be written as a sum of positive squares in 3 ways, for example, as 902500 + 60388441 = 950^2 + 7771^2 .

It is not a de Polignac number, because 61290941 - 214 = 61274557 is a prime.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61290898 and 61290907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61290041) 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 17 ways as a sum of consecutive naturals, for example, 606791 + ... + 606891.

It is an arithmetic number, because the mean of its divisors is an integer number (3719957).

Almost surely, 261290941 is an apocalyptic number.

It is an amenable number.

61290941 is a deficient number, since it is larger than the sum of its proper divisors (5668285).

61290941 is a wasteful number, since it uses less digits than its factorization.

61290941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 61290941 is about 7828.8531088532. The cubic root of 61290941 is about 394.2745666213.

The spelling of 61290941 in words is "sixty-one million, two hundred ninety thousand, nine hundred forty-one".

Divisors: 1 19 41 101 361 779 1681 1919 4141 14801 31939 36461 78679 169781 606841 1494901 3225839 61290941