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996948 = 223417181
BaseRepresentation
bin11110011011001010100
31212122120000
43303121110
5223400243
633211300
711321361
oct3633124
91778500
10996948
11621027
12400b30
1328ba14
141bd468
1514a5d3
hexf3654

996948 has 60 divisors (see below), whose sum is σ = 2774772. Its totient is φ = 311040.

The previous prime is 996899. The next prime is 996953. The reversal of 996948 is 849699.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 685584 = 558^2 + 828^2 .

It is a congruent number.

It is an unprimeable number.

996948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5418 + ... + 5598.

2996948 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 996948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387386).

996948 is an abundant number, since it is smaller than the sum of its proper divisors (1777824).

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

996948 is a wasteful number, since it uses less digits than its factorization.

996948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 996948 is about 998.4728338818. The cubic root of 996948 is about 99.8981629941.

The spelling of 996948 in words is "nine hundred ninety-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 181 204 306 324 362 459 543 612 724 918 1086 1377 1629 1836 2172 2754 3077 3258 4887 5508 6154 6516 9231 9774 12308 14661 18462 19548 27693 29322 36924 55386 58644 83079 110772 166158 249237 332316 498474 996948