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196717824 = 283285381
BaseRepresentation
bin10111011100110…
…10110100000000
3111201011022010100
423232122310000
5400324432244
631304202400
74606034232
oct1356326400
9451138110
10196717824
11a1051016
1255a69400
13319a83a4
141c1aa252
151240bb69
hexbb9ad00

196717824 has 54 divisors (see below), whose sum is σ = 567192626. Its totient is φ = 65571840.

The previous prime is 196717771. The next prime is 196717831. The reversal of 196717824 is 428717691.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 126157824 + 70560000 = 11232^2 + 8400^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 196717824.

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 5 ways as a sum of consecutive naturals, for example, 40387 + ... + 44994.

Almost surely, 2196717824 is an apocalyptic number.

It is an amenable number.

196717824 is an abundant number, since it is smaller than the sum of its proper divisors (370474802).

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

196717824 is an equidigital number, since it uses as much as digits as its factorization.

196717824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85403 (or 85386 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 196717824 is about 14025.6131416776. The cubic root of 196717824 is about 581.5868396549.

It can be divided in two parts, 19671 and 7824, that added together give a triangular number (27495 = T234).

The spelling of 196717824 in words is "one hundred ninety-six million, seven hundred seventeen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 85381 170762 256143 341524 512286 683048 768429 1024572 1366096 1536858 2049144 2732192 3073716 4098288 5464384 6147432 8196576 10928768 12294864 16393152 21857536 24589728 32786304 49179456 65572608 98358912 196717824