Search a number
-
+
195952456 = 23723167911
BaseRepresentation
bin10111010110111…
…11111101001000
3111122201102020101
423223133331020
5400130434311
631235535144
74566365650
oct1353377510
9448642211
10195952456
11a0678a87
125575a4b4
133179abcb
141c04b360
1512309ec1
hexbadff48

195952456 has 64 divisors (see below), whose sum is σ = 441262080. Its totient is φ = 79759680.

The previous prime is 195952411. The next prime is 195952483. The reversal of 195952456 is 654259591.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214641 + ... + 215551.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2195952456 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 195952456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040).

195952456 is an abundant number, since it is smaller than the sum of its proper divisors (245309624).

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

195952456 is a wasteful number, since it uses less digits than its factorization.

195952456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1110 counting only the distinct ones).

The product of its digits is 486000, while the sum is 46.

The square root of 195952456 is about 13998.3018970159. The cubic root of 195952456 is about 580.8316013764.

The spelling of 195952456 in words is "one hundred ninety-five million, nine hundred fifty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 167 184 322 334 644 668 911 1169 1288 1336 1822 2338 3644 3841 4676 6377 7288 7682 9352 12754 15364 20953 25508 26887 30728 41906 51016 53774 83812 107548 146671 152137 167624 215096 293342 304274 586684 608548 1064959 1173368 1217096 2129918 3499151 4259836 6998302 8519672 13996604 24494057 27993208 48988114 97976228 195952456