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95820608 = 261341532
BaseRepresentation
bin1011011011000…
…01101101000000
320200022012011102
411231201231000
5144012224413
613301433532
72242314242
oct555415500
9220265142
1095820608
114a0a7494
122810b8a8
1316b0c3b0
14ca24092
15862b458
hex5b61b40

95820608 has 84 divisors (see below), whose sum is σ = 213797388. Its totient is φ = 42332160.

The previous prime is 95820607. The next prime is 95820617. The reversal of 95820608 is 80602859.

It can be written as a sum of positive squares in 6 ways, for example, as 5798464 + 90022144 = 2408^2 + 9488^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95820607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1807910 + ... + 1807962.

It is an arithmetic number, because the mean of its divisors is an integer number (2545207).

Almost surely, 295820608 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 95820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106898694).

95820608 is an abundant number, since it is smaller than the sum of its proper divisors (117976780).

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

95820608 is a wasteful number, since it uses less digits than its factorization.

95820608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 95820608 is about 9788.8001307617. The cubic root of 95820608 is about 457.6003072683.

The spelling of 95820608 in words is "ninety-five million, eight hundred twenty thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 53 64 82 104 106 164 208 212 328 416 424 533 656 689 832 848 1066 1312 1378 1696 2132 2173 2624 2756 2809 3392 4264 4346 5512 5618 8528 8692 11024 11236 17056 17384 22048 22472 28249 34112 34768 36517 44096 44944 56498 69536 73034 89888 112996 115169 139072 146068 179776 225992 230338 292136 451984 460676 584272 903968 921352 1168544 1497197 1807936 1842704 2337088 2994394 3685408 5988788 7370816 11977576 23955152 47910304 95820608