Search a number
-
+
9961542 = 235103199
BaseRepresentation
bin100110000000…
…000001000110
3200202002200000
4212000001012
510022232132
6553302130
7150446253
oct46000106
920662600
109961542
115694288
123404946
1320aa206
14147442a
15d1b87c
hex980046

9961542 has 48 divisors (see below), whose sum is σ = 22713600. Its totient is φ = 3271752.

The previous prime is 9961531. The next prime is 9961543. The reversal of 9961542 is 2451699.

It is a junction number, because it is equal to n+sod(n) for n = 9961497 and 9961506.

It is a congruent number.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49959 + ... + 50157.

It is an arithmetic number, because the mean of its divisors is an integer number (473200).

Almost surely, 29961542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9961542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11356800).

9961542 is an abundant number, since it is smaller than the sum of its proper divisors (12752058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9961542 is a wasteful number, since it uses less digits than its factorization.

9961542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 307 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 9961542 is about 3156.1910588556. The cubic root of 9961542 is about 215.1669300307.

The spelling of 9961542 in words is "nine million, nine hundred sixty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 199 206 243 309 398 486 597 618 927 1194 1791 1854 2781 3582 5373 5562 8343 10746 16119 16686 20497 25029 32238 40994 48357 50058 61491 96714 122982 184473 368946 553419 1106838 1660257 3320514 4980771 9961542