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196025256 = 233271312969
BaseRepresentation
bin10111010111100…
…01101110101000
3111122212010002200
423223301232220
5400140302011
631241300200
74600121130
oct1353615650
9448763080
10196025256
11a0718749
1255794660
13317c509b
141c069ac0
1512321856
hexbaf1ba8

196025256 has 96 divisors (see below), whose sum is σ = 611582400. Its totient is φ = 55560960.

The previous prime is 196025237. The next prime is 196025257. The reversal of 196025256 is 652520691.

196025256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 196025256.

It is not an unprimeable number, because it can be changed into a prime (196025257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64540 + ... + 67508.

It is an arithmetic number, because the mean of its divisors is an integer number (6370650).

Almost surely, 2196025256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196025256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305791200).

196025256 is an abundant number, since it is smaller than the sum of its proper divisors (415557144).

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

196025256 is a wasteful number, since it uses less digits than its factorization.

196025256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3119 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 196025256 is about 14000.9019709446. The cubic root of 196025256 is about 580.9035224026.

The spelling of 196025256 in words is "one hundred ninety-six million, twenty-five thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 131 168 252 262 393 504 524 786 917 1048 1179 1572 1834 2358 2751 2969 3144 3668 4716 5502 5938 7336 8253 8907 9432 11004 11876 16506 17814 20783 22008 23752 26721 33012 35628 41566 53442 62349 66024 71256 83132 106884 124698 166264 187047 213768 249396 374094 388939 498792 748188 777878 1166817 1496376 1555756 2333634 2722573 3111512 3500451 4667268 5445146 7000902 8167719 9334536 10890292 14001804 16335438 21780584 24503157 28003608 32670876 49006314 65341752 98012628 196025256