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95870208 = 2837171049
BaseRepresentation
bin1011011011011…
…01110100000000
320200101201012110
411231231310000
5144020321313
613302455320
72242611660
oct555556400
9220351173
1095870208
114a130785
1228134540
1316b28b45
14ca381a0
15863aec3
hex5b6dd00

95870208 has 144 divisors (see below), whose sum is σ = 309052800. Its totient is φ = 25755648.

The previous prime is 95870207. The next prime is 95870209. The reversal of 95870208 is 80207859.

It is an interprime number because it is at equal distance from previous prime (95870207) and next prime (95870209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95870207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 90868 + ... + 91916.

It is an arithmetic number, because the mean of its divisors is an integer number (2146200).

Almost surely, 295870208 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 95870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154526400).

95870208 is an abundant number, since it is smaller than the sum of its proper divisors (213182592).

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

95870208 is a wasteful number, since it uses less digits than its factorization.

95870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 95870208 is about 9791.3333106375. Note that the first 4 decimals coincide. The cubic root of 95870208 is about 457.6792501338.

The spelling of 95870208 in words is "ninety-five million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 128 136 168 192 204 224 238 256 272 336 357 384 408 448 476 544 672 714 768 816 896 952 1049 1088 1344 1428 1632 1792 1904 2098 2176 2688 2856 3147 3264 3808 4196 4352 5376 5712 6294 6528 7343 7616 8392 11424 12588 13056 14686 15232 16784 17833 22029 22848 25176 29372 30464 33568 35666 44058 45696 50352 53499 58744 67136 71332 88116 91392 100704 106998 117488 124831 134272 142664 176232 201408 213996 234976 249662 268544 285328 352464 374493 402816 427992 469952 499324 570656 704928 748986 805632 855984 939904 998648 1141312 1409856 1497972 1711968 1879808 1997296 2282624 2819712 2995944 3423936 3994592 4565248 5639424 5991888 6847872 7989184 11983776 13695744 15978368 23967552 31956736 47935104 95870208