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195455936 = 26132171063
BaseRepresentation
bin10111010011001…
…10101111000000
3111121210012010202
423221212233000
5400014042221
631221144332
74562230244
oct1351465700
9447705122
10195455936
11a0369a35
125555b0a8
1331655c00
141bd5c424
151225cd0b
hexba66bc0

195455936 has 84 divisors (see below), whose sum is σ = 445111632. Its totient is φ = 84824064.

The previous prime is 195455933. The next prime is 195455947. The reversal of 195455936 is 639554591.

195455936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (195455933) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183341 + ... + 184403.

It is an arithmetic number, because the mean of its divisors is an integer number (5298948).

Almost surely, 2195455936 is an apocalyptic number.

195455936 is a gapful number since it is divisible by the number (16) 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 195455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222555816).

195455936 is an abundant number, since it is smaller than the sum of its proper divisors (249655696).

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

195455936 is a wasteful number, since it uses less digits than its factorization.

195455936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1095 counting only the distinct ones).

The product of its digits is 729000, while the sum is 47.

The square root of 195455936 is about 13980.5556398879. Note that the first 3 decimals coincide. The cubic root of 195455936 is about 580.3406005799.

The spelling of 195455936 in words is "one hundred ninety-five million, four hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 169 208 221 272 338 416 442 544 676 832 884 1063 1088 1352 1768 2126 2704 2873 3536 4252 5408 5746 7072 8504 10816 11492 13819 14144 17008 18071 22984 27638 34016 36142 45968 55276 68032 72284 91936 110552 144568 179647 183872 221104 234923 289136 359294 442208 469846 578272 718588 884416 939692 1156544 1437176 1879384 2874352 3053999 3758768 5748704 6107998 7517536 11497408 12215996 15035072 24431992 48863984 97727968 195455936