Search a number
-
+
195571488 = 2537714099
BaseRepresentation
bin10111010100000…
…10111100100000
3111122000001122110
423222002330200
5400031241423
631223435320
74563221160
oct1352027440
9448001573
10195571488
11a0438832
12555b5b40
1331696698
141bd8c5a0
1512282193
hexba82f20

195571488 has 96 divisors (see below), whose sum is σ = 595123200. Its totient is φ = 55077120.

The previous prime is 195571487. The next prime is 195571499. The reversal of 195571488 is 884175591.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (195571487) 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, 45663 + ... + 49761.

It is an arithmetic number, because the mean of its divisors is an integer number (6199200).

Almost surely, 2195571488 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 195571488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297561600).

195571488 is an abundant number, since it is smaller than the sum of its proper divisors (399551712).

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

195571488 is a wasteful number, since it uses less digits than its factorization.

195571488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its digits is 403200, while the sum is 48.

The square root of 195571488 is about 13984.6876261145. The cubic root of 195571488 is about 580.4549423045.

The spelling of 195571488 in words is "one hundred ninety-five million, five hundred seventy-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 4099 5964 6816 7952 8198 11928 12297 15904 16396 23856 24594 28693 32792 47712 49188 57386 65584 86079 98376 114772 131168 172158 196752 229544 291029 344316 393504 459088 582058 688632 873087 918176 1164116 1377264 1746174 2037203 2328232 2754528 3492348 4074406 4656464 6111609 6984696 8148812 9312928 12223218 13969392 16297624 24446436 27938784 32595248 48892872 65190496 97785744 195571488