Search a number
-
+
993426 = 237231109
BaseRepresentation
bin11110010100010010010
31212110201120
43302202102
5223242201
633143110
711305200
oct3624222
91773646
10993426
11619415
123baa96
1328a235
141bc070
15149536
hexf2892

993426 has 48 divisors (see below), whose sum is σ = 2407680. Its totient is φ = 272160.

The previous prime is 993407. The next prime is 993431. The reversal of 993426 is 624399.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9060 + ... + 9168.

It is an arithmetic number, because the mean of its divisors is an integer number (50160).

2993426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 993426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203840).

993426 is an abundant number, since it is smaller than the sum of its proper divisors (1414254).

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

993426 is a wasteful number, since it uses less digits than its factorization.

993426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 152 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 993426 is about 996.7075799852. The cubic root of 993426 is about 99.7803847110.

The spelling of 993426 in words is "nine hundred ninety-three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 109 147 186 217 218 294 327 434 651 654 763 1302 1519 1526 2289 3038 3379 4557 4578 5341 6758 9114 10137 10682 16023 20274 23653 32046 47306 70959 141918 165571 331142 496713 993426