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9796416 = 263737197
BaseRepresentation
bin100101010111…
…101101000000
3200102201011020
4211113231000
510001441131
6545545440
7146160660
oct45275500
920381136
109796416
115591213
123345280
13204ccc6
1414301a0
15cd7996
hex957b40

9796416 has 112 divisors (see below), whose sum is σ = 30577536. Its totient is φ = 2709504.

The previous prime is 9796411. The next prime is 9796421. The reversal of 9796416 is 6146979.

It is an interprime number because it is at equal distance from previous prime (9796411) and next prime (9796421).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9796411) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 49630 + ... + 49826.

Almost surely, 29796416 is an apocalyptic number.

9796416 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 9796416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15288768).

9796416 is an abundant number, since it is smaller than the sum of its proper divisors (20781120).

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

9796416 is a wasteful number, since it uses less digits than its factorization.

9796416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 246 counting only the distinct ones).

The product of its digits is 81648, while the sum is 42.

The square root of 9796416 is about 3129.9226827511. The cubic root of 9796416 is about 213.9714056184.

The spelling of 9796416 in words is "nine million, seven hundred ninety-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 197 222 224 259 296 336 394 444 448 518 591 592 672 777 788 888 1036 1182 1184 1344 1379 1554 1576 1776 2072 2364 2368 2758 3108 3152 3552 4137 4144 4728 5516 6216 6304 7104 7289 8274 8288 9456 11032 12432 12608 14578 16548 16576 18912 21867 22064 24864 29156 33096 37824 43734 44128 49728 51023 58312 66192 87468 88256 102046 116624 132384 153069 174936 204092 233248 264768 306138 349872 408184 466496 612276 699744 816368 1224552 1399488 1632736 2449104 3265472 4898208 9796416