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96443232 = 25323311409
BaseRepresentation
bin1011011111110…
…01101101100000
320201110211020120
411233321231200
5144142140412
613323040240
72250516414
oct557715540
9221424216
1096443232
114a492256
1228370080
1316c99902
14cb46d44
158700b8c
hex5bf9b60

96443232 has 96 divisors (see below), whose sum is σ = 272885760. Its totient is φ = 29736960.

The previous prime is 96443213. The next prime is 96443233. The reversal of 96443232 is 23234469.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 96443193 and 96443202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96443233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67744 + ... + 69152.

It is an arithmetic number, because the mean of its divisors is an integer number (2842560).

Almost surely, 296443232 is an apocalyptic number.

96443232 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136442880).

96443232 is an abundant number, since it is smaller than the sum of its proper divisors (176442528).

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

96443232 is a wasteful number, since it uses less digits than its factorization.

96443232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1468 counting only the distinct ones).

The product of its digits is 31104, while the sum is 33.

The square root of 96443232 is about 9820.5515120079. The cubic root of 96443232 is about 458.5893013704.

The spelling of 96443232 in words is "ninety-six million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 184 186 248 276 368 372 496 552 713 736 744 992 1104 1409 1426 1488 2139 2208 2818 2852 2976 4227 4278 5636 5704 8454 8556 11272 11408 16908 17112 22544 22816 32407 33816 34224 43679 45088 64814 67632 68448 87358 97221 129628 131037 135264 174716 194442 259256 262074 349432 388884 518512 524148 698864 777768 1004617 1037024 1048296 1397728 1555536 2009234 2096592 3013851 3111072 4018468 4193184 6027702 8036936 12055404 16073872 24110808 32147744 48221616 96443232