Search a number
-
+
9956912 = 247194679
BaseRepresentation
bin100101111110…
…111000110000
3200201212022112
4211332320300
510022110122
6553224452
7150426620
oct45767060
920655275
109956912
115690859
123402128
1320a8084
141472880
15d1a2e2
hex97ee30

9956912 has 40 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 4041792.

The previous prime is 9956911. The next prime is 9956939. The reversal of 9956912 is 2196599.

It is a self number, because there is not a number n which added to its sum of digits gives 9956912.

It is not an unprimeable number, because it can be changed into a prime (9956911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212 + ... + 4467.

It is an arithmetic number, because the mean of its divisors is an integer number (580320).

Almost surely, 29956912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9956912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

9956912 is an abundant number, since it is smaller than the sum of its proper divisors (13255888).

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

9956912 is a wasteful number, since it uses less digits than its factorization.

9956912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4713 (or 4707 counting only the distinct ones).

The product of its digits is 43740, while the sum is 41.

The square root of 9956912 is about 3155.4574945640. The cubic root of 9956912 is about 215.1335892330.

Adding to 9956912 its sum of digits (41), we get a triangular number (9956953 = T4462).

The spelling of 9956912 in words is "nine million, nine hundred fifty-six thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 4679 9358 18716 32753 37432 65506 74864 88901 131012 177802 262024 355604 524048 622307 711208 1244614 1422416 2489228 4978456 9956912