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9996948 = 22321341521
BaseRepresentation
bin100110001000…
…101010010100
3200210220020100
4212020222110
510024400243
6554134100
7150654423
oct46105224
920726210
109996948
115708945
123421330
1320c0370
1414832ba
15d270d3
hex988a94

9996948 has 72 divisors (see below), whose sum is σ = 27931176. Its totient is φ = 2995200.

The previous prime is 9996937. The next prime is 9996949. The reversal of 9996948 is 8496999.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 374544 + 9622404 = 612^2 + 3102^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9996894 and 9996903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9996949) 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, 18928 + ... + 19448.

It is an arithmetic number, because the mean of its divisors is an integer number (387933).

Almost surely, 29996948 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 9996948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13965588).

9996948 is an abundant number, since it is smaller than the sum of its proper divisors (17934228).

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

9996948 is a wasteful number, since it uses less digits than its factorization.

9996948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 580 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 9996948 is about 3161.7950597722. The cubic root of 9996948 is about 215.4215489908.

The spelling of 9996948 in words is "nine million, nine hundred ninety-six thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 117 123 156 164 234 246 369 468 492 521 533 738 1042 1066 1476 1563 1599 2084 2132 3126 3198 4689 4797 6252 6396 6773 9378 9594 13546 18756 19188 20319 21361 27092 40638 42722 60957 64083 81276 85444 121914 128166 192249 243828 256332 277693 384498 555386 768996 833079 1110772 1666158 2499237 3332316 4998474 9996948