Search a number
-
+
194878480 = 2451728429
BaseRepresentation
bin10111001110110…
…01110000010000
3111120200212000111
423213121300100
5344342102410
631200531104
74554303556
oct1347316020
9446625014
10194878480
11a00050a5
1255320a94
13314b3114
141bc4bbd6
1512196b8a
hexb9d9c10

194878480 has 60 divisors (see below), whose sum is σ = 481369860. Its totient is φ = 73357312.

The previous prime is 194878477. The next prime is 194878501. The reversal of 194878480 is 84878491.

It can be written as a sum of positive squares in 6 ways, for example, as 331776 + 194546704 = 576^2 + 13948^2 .

It is a super-2 number, since 2×1948784802 = 75955243934220800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 18906 + ... + 27334.

It is an arithmetic number, because the mean of its divisors is an integer number (8022831).

Almost surely, 2194878480 is an apocalyptic number.

194878480 is a gapful number since it is divisible by the number (10) 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 194878480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240684930).

194878480 is an abundant number, since it is smaller than the sum of its proper divisors (286491380).

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

194878480 is a wasteful number, since it uses less digits than its factorization.

194878480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8476 (or 8453 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 49.

The square root of 194878480 is about 13959.8882517017. Note that the first 3 decimals coincide. The cubic root of 194878480 is about 579.7685164240.

The spelling of 194878480 in words is "one hundred ninety-four million, eight hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 289 340 578 680 1156 1360 1445 2312 2890 4624 5780 8429 11560 16858 23120 33716 42145 67432 84290 134864 143293 168580 286586 337160 573172 674320 716465 1146344 1432930 2292688 2435981 2865860 4871962 5731720 9743924 11463440 12179905 19487848 24359810 38975696 48719620 97439240 194878480