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96444348 = 2237211133137
BaseRepresentation
bin1011011111110…
…01111110111100
320201110212202220
411233321332330
5144142204343
613323045340
72250522600
oct557717674
9221425686
1096444348
114a493080
1228370850
1316c9a280
14cb47500
158701183
hex5bf9fbc

96444348 has 288 divisors, whose sum is σ = 326043648. Its totient is φ = 21772800.

The previous prime is 96444347. The next prime is 96444353. The reversal of 96444348 is 84344469.

It is a super-2 number, since 2×964443482 = 18603024522290208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96444347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2606586 + ... + 2606622.

It is an arithmetic number, because the mean of its divisors is an integer number (1132096).

Almost surely, 296444348 is an apocalyptic number.

96444348 is a gapful number since it is divisible by the number (98) 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 96444348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163021824).

96444348 is an abundant number, since it is smaller than the sum of its proper divisors (229599300).

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

96444348 is a wasteful number, since it uses less digits than its factorization.

96444348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 104 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 96444348 is about 9820.6083314630. The cubic root of 96444348 is about 458.5910702303.

It can be divided in two parts, 96 and 444348, that added together give a palindrome (444444).

The spelling of 96444348 in words is "ninety-six million, four hundred forty-four thousand, three hundred forty-eight".