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195949056 = 293295383
BaseRepresentation
bin10111010110111…
…11001000000000
3111122201020120110
423223133020000
5400130332211
631235511320
74566353022
oct1353371000
9448636513
10195949056
11a0676476
1255758540
13317994b4
141c04a012
1512308ea6
hexbadf200

195949056 has 160 divisors (see below), whose sum is σ = 556839360. Its totient is φ = 61128704.

The previous prime is 195948959. The next prime is 195949069. The reversal of 195949056 is 650949591.

It is a super-2 number, since 2×1959490562 = 76792065094582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 195948996 and 195949014.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2360791 + ... + 2360873.

It is an arithmetic number, because the mean of its divisors is an integer number (3480246).

Almost surely, 2195949056 is an apocalyptic number.

195949056 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 195949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278419680).

195949056 is an abundant number, since it is smaller than the sum of its proper divisors (360890304).

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

195949056 is an equidigital number, since it uses as much as digits as its factorization.

195949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 48.

The square root of 195949056 is about 13998.1804531875. The cubic root of 195949056 is about 580.8282419920.

It can be divided in two parts, 1959 and 49056, that added together give a palindrome (51015).

The spelling of 195949056 in words is "one hundred ninety-five million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 83 87 96 106 116 128 159 166 174 192 212 232 249 256 318 332 348 384 424 464 498 512 636 664 696 768 848 928 996 1272 1328 1392 1536 1537 1696 1856 1992 2407 2544 2656 2784 3074 3392 3712 3984 4399 4611 4814 5088 5312 5568 6148 6784 7221 7424 7968 8798 9222 9628 10176 10624 11136 12296 13197 13568 14442 14848 15936 17596 18444 19256 20352 21248 22272 24592 26394 27136 28884 31872 35192 36888 38512 40704 42496 44544 49184 52788 57768 63744 70384 73776 77024 81408 98368 105576 115536 127488 127571 140768 147552 154048 196736 211152 231072 255142 281536 295104 308096 382713 393472 422304 462144 510284 563072 590208 616192 765426 786944 844608 924288 1020568 1126144 1180416 1232384 1530852 1689216 1848576 2041136 2252288 2360832 3061704 3378432 3697152 4082272 6123408 6756864 8164544 12246816 16329088 24493632 32658176 48987264 65316352 97974528 195949056