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9996576 = 2531011031
BaseRepresentation
bin100110001000…
…100100100000
3200210212201120
4212020210200
510024342301
6554132240
7150653352
oct46104440
920725646
109996576
115708637
123421080
1320c0145
1414830d2
15d26e36
hex988920

9996576 has 48 divisors (see below), whose sum is σ = 26526528. Its totient is φ = 3296000.

The previous prime is 9996557. The next prime is 9996583. The reversal of 9996576 is 6756999.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9181 + ... + 10211.

It is an arithmetic number, because the mean of its divisors is an integer number (552636).

Almost surely, 29996576 is an apocalyptic number.

9996576 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9996576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13263264).

9996576 is an abundant number, since it is smaller than the sum of its proper divisors (16529952).

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

9996576 is a wasteful number, since it uses less digits than its factorization.

9996576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1137 counting only the distinct ones).

The product of its digits is 918540, while the sum is 51.

The square root of 9996576 is about 3161.7362318827. The cubic root of 9996576 is about 215.4188769149.

The spelling of 9996576 in words is "nine million, nine hundred ninety-six thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1031 1212 1616 2062 2424 3093 3232 4124 4848 6186 8248 9696 12372 16496 24744 32992 49488 98976 104131 208262 312393 416524 624786 833048 1249572 1666096 2499144 3332192 4998288 9996576