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95988256 = 25721317277
BaseRepresentation
bin1011011100010…
…10101000100000
320200121201010121
411232022220200
5144033111011
613305210024
72243613100
oct556125040
9220551117
1095988256
114a201441
1228190914
1316b6a7b0
14ca69200
158660e71
hex5b8aa20

95988256 has 144 divisors (see below), whose sum is σ = 251571096. Its totient is φ = 35610624.

The previous prime is 95988253. The next prime is 95988271. The reversal of 95988256 is 65288959.

95988256 = T1 + T2 + ... + T831.

95988256 is a nontrivial binomial coefficient, being equal to C(833, 3).

It can be written as a sum of positive squares in 4 ways, for example, as 63680400 + 32307856 = 7980^2 + 5684^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (95988253) by changing a digit.

It is the 831-st tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346390 + ... + 346666.

Almost surely, 295988256 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 95988256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125785548).

95988256 is an abundant number, since it is smaller than the sum of its proper divisors (155582840).

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

95988256 is a wasteful number, since it uses less digits than its factorization.

95988256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 316 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 52.

The square root of 95988256 is about 9797.3596443123. The cubic root of 95988256 is about 457.8670246987.

The spelling of 95988256 in words is "ninety-five million, nine hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 49 52 56 68 91 98 104 112 119 136 182 196 208 221 224 238 272 277 364 392 416 442 476 544 554 637 728 784 833 884 952 1108 1274 1456 1547 1568 1666 1768 1904 1939 2216 2548 2912 3094 3332 3536 3601 3808 3878 4432 4709 5096 6188 6664 7072 7202 7756 8864 9418 10192 10829 12376 13328 13573 14404 15512 18836 20384 21658 24752 25207 26656 27146 28808 31024 32963 37672 43316 49504 50414 54292 57616 61217 62048 65926 75344 86632 100828 108584 115232 122434 131852 150688 173264 176449 201656 217168 230741 244868 263704 346528 352898 403312 428519 434336 461482 489736 527408 705796 806624 857038 922964 979472 1054816 1411592 1714076 1845928 1958944 2823184 2999633 3428152 3691856 5646368 5999266 6856304 7383712 11998532 13712608 23997064 47994128 95988256