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99499296 = 25313611307
BaseRepresentation
bin1011110111000…
…11110100100000
320221020002101010
411323203310200
5200432434141
613512340520
72315505261
oct573436440
9227202333
1099499296
115118a326
12293a4740
13177c9930
14d300968
158b06416
hex5ee3d20

99499296 has 96 divisors (see below), whose sum is σ = 286106688. Its totient is φ = 30090240.

The previous prime is 99499289. The next prime is 99499307. The reversal of 99499296 is 69299499.

It is a tau number, because it is divible by the number of its divisors (96).

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, 75475 + ... + 76781.

It is an arithmetic number, because the mean of its divisors is an integer number (2980278).

Almost surely, 299499296 is an apocalyptic number.

99499296 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 99499296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143053344).

99499296 is an abundant number, since it is smaller than the sum of its proper divisors (186607392).

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

99499296 is a wasteful number, since it uses less digits than its factorization.

99499296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1386 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 57.

The square root of 99499296 is about 9974.9333832362. The cubic root of 99499296 is about 463.3828994239.

The spelling of 99499296 in words is "ninety-nine million, four hundred ninety-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 732 793 976 1248 1307 1464 1586 1952 2379 2614 2928 3172 3921 4758 5228 5856 6344 7842 9516 10456 12688 15684 16991 19032 20912 25376 31368 33982 38064 41824 50973 62736 67964 76128 79727 101946 125472 135928 159454 203892 239181 271856 318908 407784 478362 543712 637816 815568 956724 1036451 1275632 1631136 1913448 2072902 2551264 3109353 3826896 4145804 6218706 7653792 8291608 12437412 16583216 24874824 33166432 49749648 99499296