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96282144 = 25327163293
BaseRepresentation
bin1011011110100…
…10011000100000
320201011122021100
411233102120200
5144122012034
613315354400
72246245650
oct557223040
9221148240
1096282144
114a392222
12282b2a00
1316c414aa
14cb04360
1586bd099
hex5bd2620

96282144 has 144 divisors (see below), whose sum is σ = 315911232. Its totient is φ = 27247104.

The previous prime is 96282143. The next prime is 96282157. The reversal of 96282144 is 44128269.

96282144 is a `hidden beast` number, since 9 + 628 + 21 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 96282099 and 96282108.

It is not an unprimeable number, because it can be changed into a prime (96282143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328462 + ... + 328754.

It is an arithmetic number, because the mean of its divisors is an integer number (2193828).

Almost surely, 296282144 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 96282144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157955616).

96282144 is an abundant number, since it is smaller than the sum of its proper divisors (219629088).

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

96282144 is a wasteful number, since it uses less digits than its factorization.

96282144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 468 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 96282144 is about 9812.3465083536. The cubic root of 96282144 is about 458.3338336377. Note that the first 3 decimals are identical.

The spelling of 96282144 in words is "ninety-six million, two hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 163 168 224 252 288 293 326 336 489 504 586 652 672 879 978 1008 1141 1172 1304 1467 1758 1956 2016 2051 2282 2344 2608 2637 2934 3423 3516 3912 4102 4564 4688 5216 5274 5868 6153 6846 7032 7824 8204 9128 9376 10269 10548 11736 12306 13692 14064 15648 16408 18256 18459 20538 21096 23472 24612 27384 28128 32816 36512 36918 41076 42192 46944 47759 49224 54768 65632 73836 82152 84384 95518 98448 109536 143277 147672 164304 191036 196896 286554 295344 328608 334313 382072 429831 573108 590688 668626 764144 859662 1002939 1146216 1337252 1528288 1719324 2005878 2292432 2674504 3008817 3438648 4011756 4584864 5349008 6017634 6877296 8023512 10698016 12035268 13754592 16047024 24070536 32094048 48141072 96282144