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196409856 = 293711801
BaseRepresentation
bin10111011010011…
…11101000000000
3111200120122200010
423231033220000
5400240103411
631253424520
74603312326
oct1355175000
9450518603
10196409856
11a09606a5
125593b140
13318cb166
141c129d16
151239a7a6
hexbb4fa00

196409856 has 80 divisors (see below), whose sum is σ = 530912448. Its totient is φ = 64512000.

The previous prime is 196409849. The next prime is 196409867. The reversal of 196409856 is 658904691.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108156 + ... + 109956.

Almost surely, 2196409856 is an apocalyptic number.

196409856 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 196409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265456224).

196409856 is an abundant number, since it is smaller than the sum of its proper divisors (334502592).

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

196409856 is an equidigital number, since it uses as much as digits as its factorization.

196409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1893 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 196409856 is about 14014.6300700375. The cubic root of 196409856 is about 581.2831835836.

The spelling of 196409856 in words is "one hundred ninety-six million, four hundred nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1136 1536 1704 1801 2272 3408 3602 4544 5403 6816 7204 9088 10806 13632 14408 18176 21612 27264 28816 36352 43224 54528 57632 86448 109056 115264 127871 172896 230528 255742 345792 383613 461056 511484 691584 767226 922112 1022968 1383168 1534452 2045936 2766336 3068904 4091872 6137808 8183744 12275616 16367488 24551232 32734976 49102464 65469952 98204928 196409856