Search a number
-
+
395259048342 = 232314788117107
BaseRepresentation
bin1011100000001110100…
…01100111000110010110
31101210020021122001221200
411300013101213012112
522433442304021332
6501325101053330
740361613322344
oct5600721470626
91353207561850
10395259048342
111426a0479234
126472b557246
132b37136c7c2
14151b8694994
15a4355b217c
hex5c07467196

395259048342 has 96 divisors (see below), whose sum is σ = 903906791424. Its totient is φ = 124641158400.

The previous prime is 395259048341. The next prime is 395259048377. The reversal of 395259048342 is 243840952593.

395259048342 is a `hidden beast` number, since 3 + 9 + 5 + 2 + 590 + 4 + 8 + 3 + 42 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395259048341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23096553 + ... + 23113659.

It is an arithmetic number, because the mean of its divisors is an integer number (9415695744).

Almost surely, 2395259048342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395259048342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451953395712).

395259048342 is an abundant number, since it is smaller than the sum of its proper divisors (508647743082).

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

395259048342 is a wasteful number, since it uses less digits than its factorization.

395259048342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18074 (or 18071 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 395259048342 in words is "three hundred ninety-five billion, two hundred fifty-nine million, forty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 881 1457 1762 2643 2914 4371 5286 7929 8742 13113 15858 17107 26226 27311 34214 41407 51321 54622 81933 82814 102642 124221 153963 163866 245799 248442 307926 372663 491598 530317 745326 804029 1060634 1283617 1590951 1608058 2412087 2567234 3181902 3850851 4772853 4824174 7236261 7701702 9545706 11552553 14472522 15071267 23105106 24924899 30142534 45213801 49849798 74774697 90427602 135641403 149549394 224324091 271282806 448648182 467209277 708349549 934418554 1401627831 1416699098 2125048647 2803255662 4204883493 4250097294 6375145941 8409766986 12750291882 21958836019 43917672038 65876508057 131753016114 197629524171 395259048342