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196526976 = 2732512039
BaseRepresentation
bin10111011011011…
…00001110000000
3111200210121022220
423231230032000
5400302330401
631300131040
74604310642
oct1355541600
9450717286
10196526976
11a0a30698
1255996a80
133193c569
141c15a892
15123c0336
hexbb6c380

196526976 has 64 divisors (see below), whose sum is σ = 524361600. Its totient is φ = 65216000.

The previous prime is 196526969. The next prime is 196526983. The reversal of 196526976 is 679625691.

It is an interprime number because it is at equal distance from previous prime (196526969) and next prime (196526983).

It is a tau number, because it is divible by the number of its divisors (64).

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, 95365 + ... + 97403.

It is an arithmetic number, because the mean of its divisors is an integer number (8193150).

Almost surely, 2196526976 is an apocalyptic number.

196526976 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 196526976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262180800).

196526976 is an abundant number, since it is smaller than the sum of its proper divisors (327834624).

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

196526976 is a wasteful number, since it uses less digits than its factorization.

196526976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2295 counting only the distinct ones).

The product of its digits is 1224720, while the sum is 51.

The square root of 196526976 is about 14018.8079379097. The cubic root of 196526976 is about 581.3987011383.

The spelling of 196526976 in words is "one hundred ninety-six million, five hundred twenty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 2039 3012 4016 4078 6024 6117 8032 8156 12048 12234 16064 16312 24096 24468 32128 32624 48192 48936 65248 96384 97872 130496 195744 260992 391488 511789 782976 1023578 1535367 2047156 3070734 4094312 6141468 8188624 12282936 16377248 24565872 32754496 49131744 65508992 98263488 196526976