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95168768 = 28894177
BaseRepresentation
bin1011010110000…
…10100100000000
320122002002000012
411223002210000
5143330400033
613235444052
72233630652
oct553024400
9218062005
1095168768
11497a1782
1227a56628
13169417a6
14c8d46d2
15854d248
hex5ac2900

95168768 has 36 divisors (see below), whose sum is σ = 192146220. Its totient is φ = 47038464.

The previous prime is 95168753. The next prime is 95168783. The reversal of 95168768 is 86786159.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (95168753) and next prime (95168783).

It can be written as a sum of positive squares in 2 ways, for example, as 55830784 + 39337984 = 7472^2 + 6272^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20696 + ... + 24872.

It is an arithmetic number, because the mean of its divisors is an integer number (5337395).

Almost surely, 295168768 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 95168768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96073110).

95168768 is an abundant number, since it is smaller than the sum of its proper divisors (96977452).

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

95168768 is an equidigital number, since it uses as much as digits as its factorization.

95168768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4268 counting only the distinct ones).

The product of its digits is 725760, while the sum is 50.

The square root of 95168768 is about 9755.4481188718. The cubic root of 95168768 is about 456.5603043770.

The spelling of 95168768 in words is "ninety-five million, one hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 712 1424 2848 4177 5696 8354 11392 16708 22784 33416 66832 133664 267328 371753 534656 743506 1069312 1487012 2974024 5948048 11896096 23792192 47584384 95168768