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196294656 = 211343743
BaseRepresentation
bin10111011001100…
…11100000000000
3111200100210122110
423230303200000
5400222412111
631251135320
74602322425
oct1354634000
9450323573
10196294656
11a0892098
12558a4540
133188a8ac
141c0d9d4c
15123765a6
hexbb33800

196294656 has 96 divisors (see below), whose sum is σ = 536215680. Its totient is φ = 63823872.

The previous prime is 196294633. The next prime is 196294661. The reversal of 196294656 is 656492691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 263821 + ... + 264563.

It is an arithmetic number, because the mean of its divisors is an integer number (5585580).

Almost surely, 2196294656 is an apocalyptic number.

196294656 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 196294656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268107840).

196294656 is an abundant number, since it is smaller than the sum of its proper divisors (339921024).

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

196294656 is an equidigital number, since it uses as much as digits as its factorization.

196294656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 791 counting only the distinct ones).

The product of its digits is 699840, while the sum is 48.

The square root of 196294656 is about 14010.5194764505. The cubic root of 196294656 is about 581.1695149513.

The spelling of 196294656 in words is "one hundred ninety-six million, two hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 128 129 172 192 256 258 344 384 512 516 688 743 768 1024 1032 1376 1486 1536 2048 2064 2229 2752 2972 3072 4128 4458 5504 5944 6144 8256 8916 11008 11888 16512 17832 22016 23776 31949 33024 35664 44032 47552 63898 66048 71328 88064 95104 95847 127796 132096 142656 190208 191694 255592 264192 285312 380416 383388 511184 570624 760832 766776 1022368 1141248 1521664 1533552 2044736 2282496 3067104 4089472 4564992 6134208 8178944 12268416 16357888 24536832 32715776 49073664 65431552 98147328 196294656