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395045046 = 233113731783
BaseRepresentation
bin10111100010111…
…110100010110110
31000112100100221000
4113202332202312
51302112420141
6103111104130
712534553554
oct2742764266
91015310830
10395045046
11192aa1210
12b0372046
1363ac8186
143a674bd4
1524a355b6
hex178be8b6

395045046 has 64 divisors (see below), whose sum is σ = 960791040. Its totient is φ = 119322720.

The previous prime is 395045029. The next prime is 395045081. The reversal of 395045046 is 640540593.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 395045046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220671 + ... + 222453.

It is an arithmetic number, because the mean of its divisors is an integer number (15012360).

Almost surely, 2395045046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395045046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480395520).

395045046 is an abundant number, since it is smaller than the sum of its proper divisors (565745994).

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

395045046 is a wasteful number, since it uses less digits than its factorization.

395045046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 395045046 is about 19875.7401371622. The cubic root of 395045046 is about 733.7512824598.

The spelling of 395045046 in words is "three hundred ninety-five million, forty-five thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 373 594 746 1119 1783 2238 3357 3566 4103 5349 6714 8206 10071 10698 12309 16047 19613 20142 24618 32094 36927 39226 48141 58839 73854 96282 110781 117678 176517 221562 353034 529551 665059 1059102 1330118 1995177 3990354 5985531 7315649 11971062 14631298 17956593 21946947 35913186 43893894 65840841 131681682 197522523 395045046