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196743904 = 2571735077
BaseRepresentation
bin10111011101000…
…01001011100000
3111201012121220021
423232201023200
5400331301104
631304523224
74606203250
oct1356411340
9451177807
10196743904
11a1069675
1255a80514
13319b7216
141c1b5960
1512414754
hexbba12e0

196743904 has 48 divisors (see below), whose sum is σ = 445320288. Its totient is φ = 83814912.

The previous prime is 196743889. The next prime is 196743913. The reversal of 196743904 is 409347691.

It is a super-2 number, since 2×1967439042 = 77416327522322432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36214 + ... + 41290.

It is an arithmetic number, because the mean of its divisors is an integer number (9277506).

Almost surely, 2196743904 is an apocalyptic number.

196743904 is a gapful number since it is divisible by the number (14) 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 196743904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222660144).

196743904 is an abundant number, since it is smaller than the sum of its proper divisors (248576384).

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

196743904 is a wasteful number, since it uses less digits than its factorization.

196743904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5267 (or 5259 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 196743904 is about 14026.5428384902. The cubic root of 196743904 is about 581.6125399434.

The spelling of 196743904 in words is "one hundred ninety-six million, seven hundred forty-three thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 173 224 346 692 1211 1384 2422 2768 4844 5077 5536 9688 10154 19376 20308 35539 38752 40616 71078 81232 142156 162464 284312 568624 878321 1137248 1756642 3513284 6148247 7026568 12296494 14053136 24592988 28106272 49185976 98371952 196743904