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99896832 = 2932719163
BaseRepresentation
bin1011111010001…
…00111000000000
320221222021200200
411331010320000
5201033144312
613525045200
72322052260
oct575047000
9227867620
1099896832
1151430a72
1229556800
1317908869
14d3a57a0
158b840dc
hex5f44e00

99896832 has 240 divisors, whose sum is σ = 348965760. Its totient is φ = 26873856.

The previous prime is 99896831. The next prime is 99896837. The reversal of 99896832 is 23869899.

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 (99896831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612783 + ... + 612945.

It is an arithmetic number, because the mean of its divisors is an integer number (1454024).

Almost surely, 299896832 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 99896832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174482880).

99896832 is an abundant number, since it is smaller than the sum of its proper divisors (249068928).

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

99896832 is a wasteful number, since it uses less digits than its factorization.

99896832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 194 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 99896832 is about 9994.8402688587. The cubic root of 99896832 is about 463.9992072916. Note that the first 3 decimals are identical.

The spelling of 99896832 in words is "ninety-nine million, eight hundred ninety-six thousand, eight hundred thirty-two".