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31061641 = 1341101577
BaseRepresentation
bin111011001111…
…1011010001001
32011110002120011
41312133122021
530422433031
63025431521
7525006502
oct166373211
964402504
1031061641
1116596086
12a49b5a1
136587290
1441a7ba9
152ad86b1
hex1d9f689

31061641 has 16 divisors (see below), whose sum is σ = 34666128. Its totient is φ = 27648000.

The previous prime is 31061633. The next prime is 31061651. The reversal of 31061641 is 14616013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 855625 + 30206016 = 925^2 + 5496^2 .

It is a 5-Lehmer number, since φ(31061641) divides (31061641-1)5.

It is a cyclic number.

It is not a de Polignac number, because 31061641 - 23 = 31061633 is a prime.

It is a super-2 number, since 2×310616412 = 1929651083225762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31061651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53545 + ... + 54121.

It is an arithmetic number, because the mean of its divisors is an integer number (2166633).

Almost surely, 231061641 is an apocalyptic number.

It is an amenable number.

31061641 is a deficient number, since it is larger than the sum of its proper divisors (3604487).

31061641 is a wasteful number, since it uses less digits than its factorization.

31061641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 31061641 is about 5573.2971390372. The cubic root of 31061641 is about 314.3461401230.

Adding to 31061641 its reverse (14616013), we get a palindrome (45677654).

The spelling of 31061641 in words is "thirty-one million, sixty-one thousand, six hundred forty-one".

Divisors: 1 13 41 101 533 577 1313 4141 7501 23657 53833 58277 307541 757601 2389357 31061641