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99029376 = 2732314759
BaseRepresentation
bin1011110011100…
…01000110000000
320220100012202200
411321301012000
5200322420001
613454313200
72311510245
oct571610600
9226305680
1099029376
1150999266
12291b8800
1317693a84
14d21b5cc
158a62086
hex5e71180

99029376 has 192 divisors, whose sum is σ = 305510400. Its totient is φ = 30735360.

The previous prime is 99029363. The next prime is 99029383. The reversal of 99029376 is 67392099.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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, 1678435 + ... + 1678493.

It is an arithmetic number, because the mean of its divisors is an integer number (1591200).

Almost surely, 299029376 is an apocalyptic number.

99029376 is a gapful number since it is divisible by the number (96) 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 99029376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755200).

99029376 is an abundant number, since it is smaller than the sum of its proper divisors (206481024).

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

99029376 is a wasteful number, since it uses less digits than its factorization.

99029376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 99029376 is about 9951.3504611183. The cubic root of 99029376 is about 462.6522523818.

The spelling of 99029376 in words is "ninety-nine million, twenty-nine thousand, three hundred seventy-six".