Search a number
-
+
194142528 = 2633283397
BaseRepresentation
bin10111001001001…
…10000101000000
3111112022110111000
423210212011000
5344200030103
631133052000
74545120126
oct1344460500
9445273430
10194142528
119a652178
1255027000
13312b6148
141bad9916
151209daa3
hexb926140

194142528 has 112 divisors (see below), whose sum is σ = 574202560. Its totient is φ = 64323072.

The previous prime is 194142521. The next prime is 194142539. The reversal of 194142528 is 825241491.

194142528 is a `hidden beast` number, since 1 + 94 + 1 + 42 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 194142492 and 194142501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194142521) 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, 488826 + ... + 489222.

Almost surely, 2194142528 is an apocalyptic number.

194142528 is a gapful number since it is divisible by the number (18) 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 194142528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287101280).

194142528 is an abundant number, since it is smaller than the sum of its proper divisors (380060032).

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

194142528 is a wasteful number, since it uses less digits than its factorization.

194142528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 194142528 is about 13933.5037948106. The cubic root of 194142528 is about 579.0377703622.

The spelling of 194142528 in words is "one hundred ninety-four million, one hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 283 288 397 432 566 576 794 849 864 1132 1191 1588 1698 1728 2264 2382 2547 3176 3396 3573 4528 4764 5094 6352 6792 7146 7641 9056 9528 10188 10719 12704 13584 14292 15282 18112 19056 20376 21438 25408 27168 28584 30564 38112 40752 42876 54336 57168 61128 76224 81504 85752 112351 114336 122256 163008 171504 224702 228672 244512 337053 343008 449404 489024 674106 686016 898808 1011159 1348212 1797616 2022318 2696424 3033477 3595232 4044636 5392848 6066954 7190464 8089272 10785696 12133908 16178544 21571392 24267816 32357088 48535632 64714176 97071264 194142528