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196473888 = 25321397541
BaseRepresentation
bin10111011010111…
…11010000100000
3111200200220111200
423231133100200
5400244131023
631255041200
74604000112
oct1355372040
9450626450
10196473888
11a09a4816
1255970200
1331921350
141c1453b2
15123ae743
hexbb5f420

196473888 has 144 divisors (see below), whose sum is σ = 609028056. Its totient is φ = 59719680.

The previous prime is 196473881. The next prime is 196473899. The reversal of 196473888 is 888374691.

196473888 is a `hidden beast` number, since 1 + 96 + 473 + 8 + 88 = 666.

196473888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 74857104 = 11028^2 + 8652^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (196473881) 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, 362898 + ... + 363438.

Almost surely, 2196473888 is an apocalyptic number.

196473888 is a gapful number since it is divisible by the number (18) 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 196473888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304514028).

196473888 is an abundant number, since it is smaller than the sum of its proper divisors (412554168).

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

196473888 is a wasteful number, since it uses less digits than its factorization.

196473888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 656 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 196473888 is about 14016.9143537371. The cubic root of 196473888 is about 581.3463451810.

The spelling of 196473888 in words is "one hundred ninety-six million, four hundred seventy-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 97 104 117 144 156 194 208 234 288 291 312 388 416 468 541 582 624 776 873 936 1082 1164 1248 1261 1552 1623 1746 1872 2164 2328 2522 3104 3246 3492 3744 3783 4328 4656 4869 5044 6492 6984 7033 7566 8656 9312 9738 10088 11349 12984 13968 14066 15132 17312 19476 20176 21099 22698 25968 27936 28132 30264 38952 40352 42198 45396 51936 52477 56264 60528 63297 77904 84396 90792 104954 112528 121056 126594 155808 157431 168792 181584 209908 225056 253188 314862 337584 363168 419816 472293 506376 629724 675168 682201 839632 944586 1012752 1259448 1364402 1679264 1889172 2025504 2046603 2518896 2728804 3778344 4093206 5037792 5457608 6139809 7556688 8186412 10915216 12279618 15113376 16372824 21830432 24559236 32745648 49118472 65491296 98236944 196473888