Search a number
-
+
195937248 = 253133929
BaseRepresentation
bin10111010110111…
…00001111100000
3111122200122101010
423223130033200
5400124442443
631235340520
74566303423
oct1353341740
9448618333
10195937248
11a0668611
1255751740
1331794000
141c0459ba
1512305733
hexbadc3e0

195937248 has 96 divisors (see below), whose sum is σ = 557776800. Its totient is φ = 60223488.

The previous prime is 195937241. The next prime is 195937249. The reversal of 195937248 is 842739591.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 195937197 and 195937206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195937241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210448 + ... + 211376.

It is an arithmetic number, because the mean of its divisors is an integer number (5810175).

Almost surely, 2195937248 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 195937248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278888400).

195937248 is an abundant number, since it is smaller than the sum of its proper divisors (361839552).

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

195937248 is an equidigital number, since it uses as much as digits as its factorization.

195937248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 947 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 195937248 is about 13997.7586777312. The cubic root of 195937248 is about 580.8165747457.

The spelling of 195937248 in words is "one hundred ninety-five million, nine hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 929 1014 1248 1352 1858 2028 2197 2704 2787 3716 4056 4394 5408 5574 6591 7432 8112 8788 11148 12077 13182 14864 16224 17576 22296 24154 26364 29728 35152 36231 44592 48308 52728 70304 72462 89184 96616 105456 144924 157001 193232 210912 289848 314002 386464 471003 579696 628004 942006 1159392 1256008 1884012 2041013 2512016 3768024 4082026 5024032 6123039 7536048 8164052 12246078 15072096 16328104 24492156 32656208 48984312 65312416 97968624 195937248