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96249384 = 2335711643
BaseRepresentation
bin1011011110010…
…10011000101000
320201002222100000
411233022120220
5144114440014
613314543000
72246051310
oct557123050
9221088300
1096249384
114a36a650
1228297a60
1316c2c5ca
14cad6440
1586b3509
hex5bca628

96249384 has 192 divisors, whose sum is σ = 337559040. Its totient is φ = 24960960.

The previous prime is 96249379. The next prime is 96249397. The reversal of 96249384 is 48394269.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 149367 + ... + 150009.

It is an arithmetic number, because the mean of its divisors is an integer number (1758120).

Almost surely, 296249384 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 96249384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168779520).

96249384 is an abundant number, since it is smaller than the sum of its proper divisors (241309656).

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

96249384 is a wasteful number, since it uses less digits than its factorization.

96249384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 666 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 96249384 is about 9810.6770408571. The cubic root of 96249384 is about 458.2818450444.

The spelling of 96249384 in words is "ninety-six million, two hundred forty-nine thousand, three hundred eighty-four".