Search a number
-
+
9961544 = 2361137149
BaseRepresentation
bin100110000000…
…000001001000
3200202002200002
4212000001020
510022232134
6553302132
7150446255
oct46000110
920662602
109961544
11569428a
123404948
1320aa208
14147442c
15d1b87e
hex980048

9961544 has 32 divisors (see below), whose sum is σ = 19251000. Its totient is φ = 4830720.

The previous prime is 9961543. The next prime is 9961573. The reversal of 9961544 is 4451699.

It can be written as a sum of positive squares in 4 ways, for example, as 4153444 + 5808100 = 2038^2 + 2410^2 .

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9961498 and 9961507.

It is not an unprimeable number, because it can be changed into a prime (9961543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66782 + ... + 66930.

Almost surely, 29961544 is an apocalyptic number.

It is an amenable number.

9961544 is a deficient number, since it is larger than the sum of its proper divisors (9289456).

9961544 is a wasteful number, since it uses less digits than its factorization.

9961544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its digits is 38880, while the sum is 38.

The square root of 9961544 is about 3156.1913756932. The cubic root of 9961544 is about 215.1669444306.

The spelling of 9961544 in words is "nine million, nine hundred sixty-one thousand, five hundred forty-four".

Divisors: 1 2 4 8 61 122 137 149 244 274 298 488 548 596 1096 1192 8357 9089 16714 18178 20413 33428 36356 40826 66856 72712 81652 163304 1245193 2490386 4980772 9961544