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195978272 = 257832127
BaseRepresentation
bin10111010111001…
…10010000100000
3111122202201122112
423223212100200
5400132301042
631240254452
74566534140
oct1353462040
9448681575
10195978272
11a0696416
1255771428
13317a9899
141c056920
1512312982
hexbae6420

195978272 has 72 divisors (see below), whose sum is σ = 449842176. Its totient is φ = 82325376.

The previous prime is 195978269. The next prime is 195978281. The reversal of 195978272 is 272879591.

It is a super-2 number, since 2×1959782722 = 76814966192211968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 195978272.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1543073 + ... + 1543199.

It is an arithmetic number, because the mean of its divisors is an integer number (6247808).

Almost surely, 2195978272 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 195978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224921088).

195978272 is an abundant number, since it is smaller than the sum of its proper divisors (253863904).

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

195978272 is an equidigital number, since it uses as much as digits as its factorization.

195978272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 219 counting only the distinct ones).

The product of its digits is 635040, while the sum is 50.

The square root of 195978272 is about 13999.2239784925. The cubic root of 195978272 is about 580.8571077168.

The spelling of 195978272 in words is "one hundred ninety-five million, nine hundred seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 83 112 127 166 224 254 332 508 581 664 889 1016 1162 1328 1778 2032 2324 2656 3556 4064 4648 6889 7112 9296 10541 13778 14224 18592 21082 27556 28448 42164 48223 55112 73787 84328 96446 110224 147574 168656 192892 220448 295148 337312 385784 590296 771568 874903 1180592 1543136 1749806 2361184 3499612 6124321 6999224 12248642 13998448 24497284 27996896 48994568 97989136 195978272