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99793056 = 25311471
BaseRepresentation
bin1011111001010…
…11100010100000
320221210000100010
411330223202200
5201021334211
613522524520
72321140566
oct574534240
9227700303
1099793056
1151370000
1229506740
13178a055c
14d379a36
158b634a6
hex5f2b8a0

99793056 has 120 divisors (see below), whose sum is σ = 292209120. Its totient is φ = 29814400.

The previous prime is 99793051. The next prime is 99793063. The reversal of 99793056 is 65039799.

99793056 = T1641 + T1642 + ... + T1711.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 99792996 and 99793014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99793051) 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 19 ways as a sum of consecutive naturals, for example, 1405501 + ... + 1405571.

It is an arithmetic number, because the mean of its divisors is an integer number (2435076).

Almost surely, 299793056 is an apocalyptic number.

99793056 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 99793056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146104560).

99793056 is an abundant number, since it is smaller than the sum of its proper divisors (192416064).

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

99793056 is an equidigital number, since it uses as much as digits as its factorization.

99793056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 99793056 is about 9989.6474412263. The cubic root of 99793056 is about 463.8384792540.

The spelling of 99793056 in words is "ninety-nine million, seven hundred ninety-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 71 88 96 121 132 142 176 213 242 264 284 352 363 426 484 528 568 726 781 852 968 1056 1136 1331 1452 1562 1704 1936 2272 2343 2662 2904 3124 3408 3872 3993 4686 5324 5808 6248 6816 7986 8591 9372 10648 11616 12496 14641 15972 17182 18744 21296 24992 25773 29282 31944 34364 37488 42592 43923 51546 58564 63888 68728 74976 87846 94501 103092 117128 127776 137456 175692 189002 206184 234256 274912 283503 351384 378004 412368 468512 567006 702768 756008 824736 1039511 1134012 1405536 1512016 2079022 2268024 3024032 3118533 4158044 4536048 6237066 8316088 9072096 12474132 16632176 24948264 33264352 49896528 99793056