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96439644 = 223272232377
BaseRepresentation
bin1011011111110…
…00110101011100
320201110122022200
411233320311130
5144142032034
613323011500
72250503100
oct557706534
9221418280
1096439644
114a48a594
1228369b90
1316c980a2
14cb45900
1586eea99
hex5bf8d5c

96439644 has 108 divisors (see below), whose sum is σ = 296032464. Its totient is φ = 26345088.

The previous prime is 96439633. The next prime is 96439663. The reversal of 96439644 is 44693469.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96439644.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39384 + ... + 41760.

Almost surely, 296439644 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 96439644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148016232).

96439644 is an abundant number, since it is smaller than the sum of its proper divisors (199592820).

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

96439644 is a wasteful number, since it uses less digits than its factorization.

96439644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2424 (or 2412 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 96439644 is about 9820.3688321773. The cubic root of 96439644 is about 458.5836142984.

It can be divided in two parts, 964396 and 44, that multiplied together give a palindrome (42433424).

The spelling of 96439644 in words is "ninety-six million, four hundred thirty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 276 294 322 414 441 483 588 644 828 882 966 1127 1449 1764 1932 2254 2377 2898 3381 4508 4754 5796 6762 7131 9508 10143 13524 14262 16639 20286 21393 28524 33278 40572 42786 49917 54671 66556 85572 99834 109342 116473 149751 164013 199668 218684 232946 299502 328026 349419 382697 465892 492039 599004 656052 698838 765394 984078 1048257 1148091 1397676 1530788 1968156 2096514 2296182 2678879 3444273 4193028 4592364 5357758 6888546 8036637 10715516 13777092 16073274 24109911 32146548 48219822 96439644