Search a number
-
+
395147148 = 22311101107277
BaseRepresentation
bin10111100011010…
…111011110001100
31000112112112222120
4113203113132030
51302124202043
6103113212540
712535460334
oct2743273614
91015475876
10395147148
111930609a0
12b0401150
1363b327a6
143a6a00c4
1524a55983
hex178d778c

395147148 has 96 divisors (see below), whose sum is σ = 1028982528. Its totient is φ = 117024000.

The previous prime is 395147143. The next prime is 395147149. The reversal of 395147148 is 841741593.

It is a happy number.

It is a super-2 number, since 2×3951471482 = 312282537145067808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (395147143) by changing a digit.

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, 1426386 + ... + 1426662.

It is an arithmetic number, because the mean of its divisors is an integer number (10718568).

Almost surely, 2395147148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395147148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514491264).

395147148 is an abundant number, since it is smaller than the sum of its proper divisors (633835380).

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

395147148 is a wasteful number, since it uses less digits than its factorization.

395147148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 501 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 395147148 is about 19878.3084793450. The cubic root of 395147148 is about 733.8144913021.

The spelling of 395147148 in words is "three hundred ninety-five million, one hundred forty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 107 132 202 214 277 303 321 404 428 554 606 642 831 1108 1111 1177 1212 1284 1662 2222 2354 3047 3324 3333 3531 4444 4708 6094 6666 7062 9141 10807 12188 13332 14124 18282 21614 27977 29639 32421 36564 43228 55954 59278 64842 83931 88917 111908 118556 118877 129684 167862 177834 237754 307747 326029 335724 355668 356631 475508 615494 652058 713262 923241 978087 1230988 1304116 1426524 1846482 1956174 2993539 3692964 3912348 5987078 8980617 11974156 17961234 32928929 35922468 65857858 98786787 131715716 197573574 395147148