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96419232 = 25327132283
BaseRepresentation
bin1011011111100…
…11110110100000
320201102121022200
411233303312200
5144140403412
613322333200
72250356430
oct557636640
9221377280
1096419232
114a476218
122835a200
1316c8ba00
14cb3c2c0
1586e89dc
hex5bf3da0

96419232 has 216 divisors, whose sum is σ = 340520544. Its totient is φ = 25339392.

The previous prime is 96419221. The next prime is 96419237. The reversal of 96419232 is 23291469.

96419232 is a `hidden beast` number, since 9 + 6 + 419 + 232 = 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 not an unprimeable number, because it can be changed into a prime (96419237) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 340563 + ... + 340845.

It is an arithmetic number, because the mean of its divisors is an integer number (1576484).

Almost surely, 296419232 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 96419232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170260272).

96419232 is an abundant number, since it is smaller than the sum of its proper divisors (244101312).

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

96419232 is a wasteful number, since it uses less digits than its factorization.

96419232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 308 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 96419232 is about 9819.3295086783. The cubic root of 96419232 is about 458.5512580707.

The spelling of 96419232 in words is "ninety-six million, four hundred nineteen thousand, two hundred thirty-two".