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193639648 = 2537672441
BaseRepresentation
bin10111000101010…
…11010011100000
3111111100220122211
423202223103200
5344032432043
631114211504
74540624036
oct1342532340
9444326584
10193639648
119a339374
1254a23b94
133116b297
141ba08556
1511eeea9d
hexb8ab4e0

193639648 has 48 divisors (see below), whose sum is σ = 397538064. Its totient is φ = 92759040.

The previous prime is 193639627. The next prime is 193639657. The reversal of 193639648 is 846936391.

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 7 ways as a sum of consecutive naturals, for example, 78108 + ... + 80548.

It is an arithmetic number, because the mean of its divisors is an integer number (8282043).

Almost surely, 2193639648 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 193639648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198769032).

193639648 is an abundant number, since it is smaller than the sum of its proper divisors (203898416).

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

193639648 is a wasteful number, since it uses less digits than its factorization.

193639648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2547 counting only the distinct ones).

The product of its digits is 839808, while the sum is 49.

The square root of 193639648 is about 13915.4463816293. The cubic root of 193639648 is about 578.5373849051.

It can be divided in two parts, 19363 and 9648, that multiplied together give a square (186814224 = 136682).

The spelling of 193639648 in words is "one hundred ninety-three million, six hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 32 37 67 74 134 148 268 296 536 592 1072 1184 2144 2441 2479 4882 4958 9764 9916 19528 19832 39056 39664 78112 79328 90317 163547 180634 327094 361268 654188 722536 1308376 1445072 2616752 2890144 5233504 6051239 12102478 24204956 48409912 96819824 193639648