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196841632 = 2513617757
BaseRepresentation
bin10111011101110…
…01000010100000
3111201101120221211
423232321002200
5400342413012
631310555504
74610061211
oct1356710240
9451346854
10196841632
11a1126039
1255b08b94
1331a1c850
141c1dd408
15124336a7
hexbbb90a0

196841632 has 48 divisors (see below), whose sum is σ = 424238472. Its totient is φ = 89349120.

The previous prime is 196841621. The next prime is 196841633. The reversal of 196841632 is 236148691.

It can be written as a sum of positive squares in 4 ways, for example, as 112275216 + 84566416 = 10596^2 + 9196^2 .

It is not an unprimeable number, because it can be changed into a prime (196841633) by changing a digit.

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, 21498 + ... + 29254.

Almost surely, 2196841632 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 196841632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212119236).

196841632 is an abundant number, since it is smaller than the sum of its proper divisors (227396840).

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

196841632 is a wasteful number, since it uses less digits than its factorization.

196841632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7833 counting only the distinct ones).

The product of its digits is 62208, while the sum is 40.

The square root of 196841632 is about 14030.0260869323. The cubic root of 196841632 is about 581.7088248777.

It can be divided in two parts, 19684 and 1632, that added together give a square (21316 = 1462).

The spelling of 196841632 in words is "one hundred ninety-six million, eight hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 61 104 122 208 244 416 488 793 976 1586 1952 3172 6344 7757 12688 15514 25376 31028 62056 100841 124112 201682 248224 403364 473177 806728 946354 1613456 1892708 3226912 3785416 6151301 7570832 12302602 15141664 24605204 49210408 98420816 196841632