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196756992 = 293343331
BaseRepresentation
bin10111011101001…
…00011000000000
3111201020021212000
423232210120000
5400332210432
631305104000
74606256355
oct1356443000
9451207760
10196756992
11a1078493
1255a88000
13319c0173
141c1ba62c
151241857c
hexbba4600

196756992 has 160 divisors (see below), whose sum is σ = 597759360. Its totient is φ = 63866880.

The previous prime is 196756961. The next prime is 196757003. The reversal of 196756992 is 299657691.

196756992 is a `hidden beast` number, since 19 + 67 + 569 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 594267 + ... + 594597.

It is an arithmetic number, because the mean of its divisors is an integer number (3735996).

Almost surely, 2196756992 is an apocalyptic number.

196756992 is a gapful number since it is divisible by the number (12) 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 196756992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298879680).

196756992 is an abundant number, since it is smaller than the sum of its proper divisors (401002368).

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

196756992 is an equidigital number, since it uses as much as digits as its factorization.

196756992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its digits is 1837080, while the sum is 54.

The square root of 196756992 is about 14027.0093747741. The cubic root of 196756992 is about 581.6254365330.

The spelling of 196756992 in words is "one hundred ninety-six million, seven hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 256 258 288 331 344 384 387 432 512 516 576 662 688 768 774 864 993 1032 1152 1161 1324 1376 1536 1548 1728 1986 2064 2304 2322 2648 2752 2979 3096 3456 3972 4128 4608 4644 5296 5504 5958 6192 6912 7944 8256 8937 9288 10592 11008 11916 12384 13824 14233 15888 16512 17874 18576 21184 22016 23832 24768 28466 31776 33024 35748 37152 42368 42699 47664 49536 56932 63552 66048 71496 74304 84736 85398 95328 99072 113864 127104 128097 142992 148608 169472 170796 190656 198144 227728 254208 256194 285984 297216 341592 381312 384291 455456 508416 512388 571968 594432 683184 762624 768582 910912 1024776 1143936 1366368 1525248 1537164 1821824 2049552 2287872 2732736 3074328 3643648 4099104 4575744 5465472 6148656 7287296 8198208 10930944 12297312 16396416 21861888 24594624 32792832 49189248 65585664 98378496 196756992