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195742932 = 223711349607
BaseRepresentation
bin10111010101011…
…00110011010100
3111122022202211020
423222230303110
5400102233212
631231241140
74564534050
oct1352546324
9448282736
10195742932
11a0545620
12556791b0
1331726728
141bdd4c60
15122b7d8c
hexbaaccd4

195742932 has 96 divisors (see below), whose sum is σ = 572006400. Its totient is φ = 50613120.

The previous prime is 195742931. The next prime is 195742969. The reversal of 195742932 is 239247591.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195742931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322173 + ... + 322779.

It is an arithmetic number, because the mean of its divisors is an integer number (5958400).

Almost surely, 2195742932 is an apocalyptic number.

195742932 is a gapful number since it is divisible by the number (12) 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 195742932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286003200).

195742932 is an abundant number, since it is smaller than the sum of its proper divisors (376263468).

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

195742932 is a wasteful number, since it uses less digits than its factorization.

195742932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 979 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 195742932 is about 13990.8159876399. The cubic root of 195742932 is about 580.6245076688.

The spelling of 195742932 in words is "one hundred ninety-five million, seven hundred forty-two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 349 462 607 698 924 1047 1214 1396 1821 2094 2428 2443 3642 3839 4188 4249 4886 6677 7284 7329 7678 8498 9772 11517 12747 13354 14658 15356 16996 20031 23034 25494 26708 26873 29316 40062 46068 46739 50988 53746 80124 80619 93478 107492 140217 161238 186956 211843 280434 322476 423686 560868 635529 847372 1271058 1482901 2330273 2542116 2965802 4448703 4660546 5931604 6990819 8897406 9321092 13981638 16311911 17794812 27963276 32623822 48935733 65247644 97871466 195742932