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95114844 = 22331123592
BaseRepresentation
bin1011010101101…
…01011001011100
320121222100001000
411222311121130
5143322133334
613234350300
72233314516
oct552653134
9217870030
1095114844
1149765210
1227a2b390
1316923096
14c8bcbb6
15853c299
hex5ab565c

95114844 has 144 divisors (see below), whose sum is σ = 285546240. Its totient is φ = 27102240.

The previous prime is 95114843. The next prime is 95114849. The reversal of 95114844 is 44841159.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 95114799 and 95114808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95114843) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1612087 + ... + 1612145.

It is an arithmetic number, because the mean of its divisors is an integer number (1982960).

Almost surely, 295114844 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 95114844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142773120).

95114844 is an abundant number, since it is smaller than the sum of its proper divisors (190431396).

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

95114844 is a wasteful number, since it uses less digits than its factorization.

95114844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 98 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 95114844 is about 9752.6839382808. The cubic root of 95114844 is about 456.4740568620.

The spelling of 95114844 in words is "ninety-five million, one hundred fourteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 27 33 36 44 46 54 59 66 69 92 99 108 118 132 138 177 198 207 236 253 276 297 354 396 414 506 531 594 621 649 708 759 828 1012 1062 1188 1242 1298 1357 1518 1593 1947 2124 2277 2484 2596 2714 3036 3186 3481 3894 4071 4554 5428 5841 6372 6831 6962 7788 8142 9108 10443 11682 12213 13662 13924 14927 16284 17523 20886 23364 24426 27324 29854 31329 35046 36639 38291 41772 44781 48852 59708 62658 70092 73278 76582 80063 89562 93987 114873 125316 134343 146556 153164 160126 179124 187974 229746 240189 268686 320252 344619 375948 403029 459492 480378 537372 689238 720567 806058 880693 960756 1033857 1378476 1441134 1612116 1761386 2067714 2161701 2642079 2882268 3522772 4135428 4323402 5284158 7926237 8646804 10568316 15852474 23778711 31704948 47557422 95114844