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96439424 = 277310321
BaseRepresentation
bin1011011111110…
…00110010000000
320201110122000112
411233320302000
5144142030144
613323010452
72250502334
oct557706200
9221418015
1096439424
114a48a404
1228369a28
1316c97c63
14cb457c4
1586ee99e
hex5bf8c80

96439424 has 32 divisors (see below), whose sum is σ = 194776140. Its totient is φ = 47554560.

The previous prime is 96439423. The next prime is 96439429. The reversal of 96439424 is 42493469.

It can be written as a sum of positive squares in 2 ways, for example, as 96040000 + 399424 = 9800^2 + 632^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (96439423) 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 3 ways as a sum of consecutive naturals, for example, 4184 + ... + 14504.

Almost surely, 296439424 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 96439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97388070).

96439424 is an abundant number, since it is smaller than the sum of its proper divisors (98336716).

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

96439424 is a wasteful number, since it uses less digits than its factorization.

96439424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10408 (or 10396 counting only the distinct ones).

The product of its digits is 186624, while the sum is 41.

The square root of 96439424 is about 9820.3576309623. The cubic root of 96439424 is about 458.5832655881.

The spelling of 96439424 in words is "ninety-six million, four hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 292 584 1168 2336 4672 9344 10321 20642 41284 82568 165136 330272 660544 753433 1321088 1506866 3013732 6027464 12054928 24109856 48219712 96439424