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195139296 = 253211311987
BaseRepresentation
bin10111010000110…
…01011011100000
3111121012002210100
423220121123200
5344423424141
631210302400
74556441142
oct1350313340
9447162710
10195139296
11a0173050
1255427a00
1331574a51
141bcb8c92
15121e90b6
hexba196e0

195139296 has 144 divisors (see below), whose sum is σ = 625218048. Its totient is φ = 57196800.

The previous prime is 195139283. The next prime is 195139313. The reversal of 195139296 is 692931591.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 97215 + ... + 99201.

It is an arithmetic number, because the mean of its divisors is an integer number (4341792).

Almost surely, 2195139296 is an apocalyptic number.

195139296 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 195139296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312609024).

195139296 is an abundant number, since it is smaller than the sum of its proper divisors (430078752).

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

195139296 is a wasteful number, since it uses less digits than its factorization.

195139296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2045 (or 2034 counting only the distinct ones).

The product of its digits is 131220, while the sum is 45.

The square root of 195139296 is about 13969.2267502536. The cubic root of 195139296 is about 580.0270459049.

It can be divided in two parts, 19 and 5139296, that added together give a palindrome (5139315).

The spelling of 195139296 in words is "one hundred ninety-five million, one hundred thirty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 1987 2046 2232 2728 2976 3069 3168 3974 4092 4464 5456 5961 6138 7948 8184 8928 10912 11922 12276 15896 16368 17883 21857 23844 24552 31792 32736 35766 43714 47688 49104 61597 63584 65571 71532 87428 95376 98208 123194 131142 143064 174856 184791 190752 196713 246388 262284 286128 349712 369582 393426 492776 524568 554373 572256 677567 699424 739164 786852 985552 1049136 1108746 1355134 1478328 1573704 1971104 2032701 2098272 2217492 2710268 2956656 3147408 4065402 4434984 5420536 5913312 6098103 6294816 8130804 8869968 10841072 12196206 16261608 17739936 21682144 24392412 32523216 48784824 65046432 97569648 195139296