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196407792 = 24327271719
BaseRepresentation
bin10111011010011…
…11000111110000
3111200120112211200
423231033013300
5400240022132
631253411200
74603303320
oct1355170760
9450515750
10196407792
11a095a099
1255939b00
13318ca239
141c129280
1512399d7c
hexbb4f1f0

196407792 has 120 divisors (see below), whose sum is σ = 631388160. Its totient is φ = 55831680.

The previous prime is 196407779. The next prime is 196407821. The reversal of 196407792 is 297704691.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272809 + ... + 273527.

It is an arithmetic number, because the mean of its divisors is an integer number (5261568).

Almost surely, 2196407792 is an apocalyptic number.

196407792 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 196407792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315694080).

196407792 is an abundant number, since it is smaller than the sum of its proper divisors (434980368).

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

196407792 is a wasteful number, since it uses less digits than its factorization.

196407792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 196407792 is about 14014.5564325097. The cubic root of 196407792 is about 581.2811474117.

The spelling of 196407792 in words is "one hundred ninety-six million, four hundred seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 271 336 504 542 719 813 1008 1084 1438 1626 1897 2157 2168 2439 2876 3252 3794 4314 4336 4878 5033 5691 5752 6471 6504 7588 8628 9756 10066 11382 11504 12942 13008 15099 15176 17073 17256 19512 20132 22764 25884 30198 30352 34146 34512 39024 40264 45297 45528 51768 60396 68292 80528 90594 91056 103536 120792 136584 181188 194849 241584 273168 362376 389698 584547 724752 779396 1169094 1363943 1558792 1753641 2338188 2727886 3117584 3507282 4091829 4676376 5455772 7014564 8183658 9352752 10911544 12275487 14029128 16367316 21823088 24550974 28058256 32734632 49101948 65469264 98203896 196407792