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196023456 = 25331911941
BaseRepresentation
bin10111010111100…
…01010010100000
3111122212000122000
423223301102200
5400140222311
631241244000
74600112646
oct1353612240
9448760560
10196023456
11a0717362
1255793600
13317c4315
141c069196
1512321056
hexbaf14a0

196023456 has 96 divisors (see below), whose sum is σ = 601876800. Its totient is φ = 61896960.

The previous prime is 196023433. The next prime is 196023463. The reversal of 196023456 is 654320691.

It is a happy number.

196023456 is a `hidden beast` number, since 1 + 9 + 602 + 3 + 45 + 6 = 666.

196023456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 196023456.

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 15 ways as a sum of consecutive naturals, for example, 10446 + ... + 22386.

It is an arithmetic number, because the mean of its divisors is an integer number (6269550).

Almost surely, 2196023456 is an apocalyptic number.

196023456 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 196023456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300938400).

196023456 is an abundant number, since it is smaller than the sum of its proper divisors (405853344).

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

196023456 is a wasteful number, since it uses less digits than its factorization.

196023456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11965 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 196023456 is about 14000.8376892242. The cubic root of 196023456 is about 580.9017443501.

The spelling of 196023456 in words is "one hundred ninety-six million, twenty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 11941 16416 23882 35823 47764 71646 95528 107469 143292 191056 214938 226879 286584 322407 382112 429876 453758 573168 644814 680637 859752 907516 1146336 1289628 1361274 1719504 1815032 2041911 2579256 2722548 3439008 3630064 4083822 5158512 5445096 6125733 7260128 8167644 10317024 10890192 12251466 16335288 21780384 24502932 32670576 49005864 65341152 98011728 196023456