Search a number
-
+
9902838 = 23111953149
BaseRepresentation
bin100101110001…
…101011110110
3200122010010210
4211301223312
510013342323
6552130250
7150113151
oct45615366
920563123
109902838
115654170
123396986
13208958a
14145ac98
15d09293
hex971af6

9902838 has 64 divisors (see below), whose sum is σ = 23328000. Its totient is φ = 2770560.

The previous prime is 9902831. The next prime is 9902839. The reversal of 9902838 is 8382099.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an Ulam number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 9902796 and 9902805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9902831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66388 + ... + 66536.

It is an arithmetic number, because the mean of its divisors is an integer number (364500).

Almost surely, 29902838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9902838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11664000).

9902838 is an abundant number, since it is smaller than the sum of its proper divisors (13425162).

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

9902838 is a wasteful number, since it uses less digits than its factorization.

9902838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 9902838 is about 3146.8774999990. The cubic root of 9902838 is about 214.7434329092.

It can be divided in two parts, 990 and 2838, that added together give a triangular number (3828 = T87).

The spelling of 9902838 in words is "nine million, nine hundred two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 149 159 209 298 318 418 447 583 627 894 1007 1166 1254 1639 1749 2014 2831 3021 3278 3498 4917 5662 6042 7897 8493 9834 11077 15794 16986 22154 23691 31141 33231 47382 62282 66462 86867 93423 150043 173734 186846 260601 300086 450129 521202 900258 1650473 3300946 4951419 9902838