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197714496 = 2637157937
BaseRepresentation
bin10111100100011…
…10001001000000
3111210000221022010
423302032021000
5401103330441
631341412520
74620355050
oct1362161100
9453027263
10197714496
11a1671911
125626a140
1331c66c35
141c389560
1512557116
hexbc8e240

197714496 has 112 divisors (see below), whose sum is σ = 602301056. Its totient is φ = 56070144.

The previous prime is 197714483. The next prime is 197714537. The reversal of 197714496 is 694417791.

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 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 15 ways as a sum of consecutive naturals, for example, 210540 + ... + 211476.

It is an arithmetic number, because the mean of its divisors is an integer number (5377688).

Almost surely, 2197714496 is an apocalyptic number.

197714496 is a gapful number since it is divisible by the number (16) 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 197714496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301150528).

197714496 is an abundant number, since it is smaller than the sum of its proper divisors (404586560).

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

197714496 is a wasteful number, since it uses less digits than its factorization.

197714496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1106 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 197714496 is about 14061.0986768460. The cubic root of 197714496 is about 582.5673898959.

The spelling of 197714496 in words is "one hundred ninety-seven million, seven hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 157 168 192 224 314 336 448 471 628 672 937 942 1099 1256 1344 1874 1884 2198 2512 2811 3297 3748 3768 4396 5024 5622 6559 6594 7496 7536 8792 10048 11244 13118 13188 14992 15072 17584 19677 22488 26236 26376 29984 30144 35168 39354 44976 52472 52752 59968 70336 78708 89952 104944 105504 147109 157416 179904 209888 211008 294218 314832 419776 441327 588436 629664 882654 1029763 1176872 1259328 1765308 2059526 2353744 3089289 3530616 4119052 4707488 6178578 7061232 8238104 9414976 12357156 14122464 16476208 24714312 28244928 32952416 49428624 65904832 98857248 197714496