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96463224 = 23351113347
BaseRepresentation
bin1011011111111…
…10100101111000
320201111211200000
411233332211320
5144143310344
613323313000
72250631614
oct557764570
9221454600
1096463224
114a4a6280
122837b760
1316ca5a40
14cb50344
158706a69
hex5bfe978

96463224 has 192 divisors, whose sum is σ = 319213440. Its totient is φ = 26904960.

The previous prime is 96463189. The next prime is 96463229. The reversal of 96463224 is 42236469.

96463224 is a `hidden beast` number, since 9 + 646 + 3 + 2 + 2 + 4 = 666.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (96463229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277819 + ... + 278165.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 296463224 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 96463224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159606720).

96463224 is an abundant number, since it is smaller than the sum of its proper divisors (222750216).

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

96463224 is a wasteful number, since it uses less digits than its factorization.

96463224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 376 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 96463224 is about 9821.5693247057. The cubic root of 96463224 is about 458.6209866209.

The spelling of 96463224 in words is "ninety-six million, four hundred sixty-three thousand, two hundred twenty-four".