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99793344 = 2637411811
BaseRepresentation
bin1011111001010…
…11100111000000
320221210000201210
411330223213000
5201021341334
613522530120
72321141460
oct574534700
9227700653
1099793344
1151370242
1229506940
13178a0721
14d379ba0
158b635e9
hex5f2b9c0

99793344 has 112 divisors (see below), whose sum is σ = 309286656. Its totient is φ = 27801600.

The previous prime is 99793289. The next prime is 99793363. The reversal of 99793344 is 44339799.

It is a tau number, because it is divible by the number of its divisors (112).

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 = 99793293 and 99793302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54199 + ... + 56009.

It is an arithmetic number, because the mean of its divisors is an integer number (2761488).

Almost surely, 299793344 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 99793344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154643328).

99793344 is an abundant number, since it is smaller than the sum of its proper divisors (209493312).

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

99793344 is a wasteful number, since it uses less digits than its factorization.

99793344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1864 counting only the distinct ones).

The product of its digits is 734832, while the sum is 48.

The square root of 99793344 is about 9989.6618561391. The cubic root of 99793344 is about 463.8389254619.

The spelling of 99793344 in words is "ninety-nine million, seven hundred ninety-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1811 1968 2296 2624 3444 3622 3936 4592 5433 6888 7244 7872 9184 10866 12677 13776 14488 18368 21732 25354 27552 28976 38031 43464 50708 55104 57952 74251 76062 86928 101416 115904 148502 152124 173856 202832 222753 297004 304248 347712 405664 445506 519757 594008 608496 811328 891012 1039514 1188016 1216992 1559271 1782024 2079028 2376032 2433984 3118542 3564048 4158056 4752064 6237084 7128096 8316112 12474168 14256192 16632224 24948336 33264448 49896672 99793344