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95438096 = 24133712401
BaseRepresentation
bin1011011000001…
…00010100010000
320122120202110022
411230010110100
5143413004341
613245323012
72236132115
oct554042420
9218522408
1095438096
1149966066
1227b66468
1316a07260
14c96490c
1585a2e4b
hex5b04510

95438096 has 40 divisors (see below), whose sum is σ = 204533784. Its totient is φ = 42854400.

The previous prime is 95438081. The next prime is 95438117. The reversal of 95438096 is 69083459.

It can be written as a sum of positive squares in 4 ways, for example, as 11971600 + 83466496 = 3460^2 + 9136^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1496 + ... + 13896.

Almost surely, 295438096 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 95438096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102266892).

95438096 is an abundant number, since it is smaller than the sum of its proper divisors (109095688).

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

95438096 is a wasteful number, since it uses less digits than its factorization.

95438096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12459 (or 12453 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 44.

The square root of 95438096 is about 9769.2423452384. The cubic root of 95438096 is about 456.9905879025.

The spelling of 95438096 in words is "ninety-five million, four hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 148 208 296 481 592 962 1924 3848 7696 12401 24802 49604 99208 161213 198416 322426 458837 644852 917674 1289704 1835348 2579408 3670696 5964881 7341392 11929762 23859524 47719048 95438096