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99994656 = 2531377603
BaseRepresentation
bin1011111010111…
…00110000100000
320222011020212210
411331130300200
5201044312111
613531122120
72322640416
oct575346040
9228136783
1099994656
1151498513
12295a3340
1317941248
14d3cd2b6
158ba30a6
hex5f5cc20

99994656 has 48 divisors (see below), whose sum is σ = 264436704. Its totient is φ = 33083904.

The previous prime is 99994637. The next prime is 99994669. The reversal of 99994656 is 65649999.

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

It is a junction number, because it is equal to n+sod(n) for n = 99994596 and 99994605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9351 + ... + 16953.

It is an arithmetic number, because the mean of its divisors is an integer number (5509098).

Almost surely, 299994656 is an apocalyptic number.

99994656 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 99994656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132218352).

99994656 is an abundant number, since it is smaller than the sum of its proper divisors (164442048).

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

99994656 is a wasteful number, since it uses less digits than its factorization.

99994656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7753 (or 7745 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 57.

The square root of 99994656 is about 9999.7327964301. The cubic root of 99994656 is about 464.1506149971.

It can be divided in two parts, 99 and 994656, that added together give a triangular number (994755 = T1410).

The spelling of 99994656 in words is "ninety-nine million, nine hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 137 274 411 548 822 1096 1644 2192 3288 4384 6576 7603 13152 15206 22809 30412 45618 60824 91236 121648 182472 243296 364944 729888 1041611 2083222 3124833 4166444 6249666 8332888 12499332 16665776 24998664 33331552 49997328 99994656