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99969408 = 2732731123
BaseRepresentation
bin1011111010101…
…10100110000000
320222002222020200
411331112212000
5201043010113
613530405200
72322504000
oct575264600
9228088220
1099969408
1151480550
1229590800
13179328c6
14d3c4000
158b9a873
hex5f56980

99969408 has 384 divisors, whose sum is σ = 381888000. Its totient is φ = 24837120.

The previous prime is 99969407. The next prime is 99969413. The reversal of 99969408 is 80496999.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99969407) by changing a digit.

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, 4346485 + ... + 4346507.

It is an arithmetic number, because the mean of its divisors is an integer number (994500).

Almost surely, 299969408 is an apocalyptic number.

99969408 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 99969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190944000).

99969408 is an abundant number, since it is smaller than the sum of its proper divisors (281918592).

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

99969408 is a wasteful number, since it uses less digits than its factorization.

99969408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 99969408 is about 9998.4702829983. The cubic root of 99969408 is about 464.1115467053. Note that the first 3 decimals are identical.

It can be divided in two parts, 999 and 69408, that added together give a palindrome (70407).

The spelling of 99969408 in words is "ninety-nine million, nine hundred sixty-nine thousand, four hundred eight".