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8097408 = 27341171
BaseRepresentation
bin11110111000111010000000
3120020101120000
4132320322000
54033104113
6445320000
7125553414
oct36707200
916211500
108097408
114630780
122866000
1318a6887
14110ad44
15a9e373
hex7b8e80

8097408 has 160 divisors (see below), whose sum is σ = 26658720. Its totient is φ = 2419200.

The previous prime is 8097371. The next prime is 8097431. The reversal of 8097408 is 8047908.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 114013 + ... + 114083.

It is an arithmetic number, because the mean of its divisors is an integer number (166617).

Almost surely, 28097408 is an apocalyptic number.

8097408 is a gapful number since it is divisible by the number (88) 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 8097408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329360).

8097408 is an abundant number, since it is smaller than the sum of its proper divisors (18561312).

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

8097408 is a wasteful number, since it uses less digits than its factorization.

8097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 8097408 is about 2845.5944897332. The cubic root of 8097408 is about 200.8084608848.

The spelling of 8097408 in words is "eight million, ninety-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 71 72 81 88 96 99 108 128 132 142 144 162 176 192 198 213 216 264 284 288 297 324 352 384 396 426 432 528 568 576 594 639 648 704 781 792 852 864 891 1056 1136 1152 1188 1278 1296 1408 1562 1584 1704 1728 1782 1917 2112 2272 2343 2376 2556 2592 3124 3168 3408 3456 3564 3834 4224 4544 4686 4752 5112 5184 5751 6248 6336 6816 7029 7128 7668 9088 9372 9504 10224 10368 11502 12496 12672 13632 14058 14256 15336 18744 19008 20448 21087 23004 24992 27264 28116 28512 30672 37488 38016 40896 42174 46008 49984 56232 57024 61344 63261 74976 81792 84348 92016 99968 112464 114048 122688 126522 149952 168696 184032 224928 245376 253044 299904 337392 368064 449856 506088 674784 736128 899712 1012176 1349568 2024352 2699136 4048704 8097408