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195426816 = 293139787
BaseRepresentation
bin10111010010111…
…11101000000000
3111121201201012020
423221133220000
5400012124231
631220401440
74562046324
oct1351375000
9447651166
10195426816
11a034a072
1255546280
1331645890
141bd51984
1512254396
hexba5fa00

195426816 has 80 divisors (see below), whose sum is σ = 560734944. Its totient is φ = 60125184.

The previous prime is 195426811. The next prime is 195426817. The reversal of 195426816 is 618624591.

It is not an unprimeable number, because it can be changed into a prime (195426811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15075 + ... + 24861.

Almost surely, 2195426816 is an apocalyptic number.

195426816 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 195426816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280367472).

195426816 is an abundant number, since it is smaller than the sum of its proper divisors (365308128).

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

195426816 is an equidigital number, since it uses as much as digits as its factorization.

195426816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9805 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 195426816 is about 13979.5141546479. The cubic root of 195426816 is about 580.3117784697.

The spelling of 195426816 in words is "one hundred ninety-five million, four hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9787 9984 19574 19968 29361 39148 58722 78296 117444 127231 156592 234888 254462 313184 381693 469776 508924 626368 763386 939552 1017848 1252736 1526772 1879104 2035696 2505472 3053544 3758208 4071392 5010944 6107088 7516416 8142784 12214176 15032832 16285568 24428352 32571136 48856704 65142272 97713408 195426816