Search a number
-
+
412148948 = 22735412609
BaseRepresentation
bin11000100100001…
…110010011010100
31001201112100001212
4120210032103110
51321002231243
6104521440552
713133131301
oct3044162324
91051470055
10412148948
111a1713672
12b6040158
1367506323
143ca480a8
15262b3318
hex1890e4d4

412148948 has 24 divisors (see below), whose sum is σ = 732773160. Its totient is φ = 202798080.

The previous prime is 412148941. The next prime is 412148977. The reversal of 412148948 is 849841214.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 52591504 + 359557444 = 7252^2 + 18962^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412148941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156668 + ... + 159276.

It is an arithmetic number, because the mean of its divisors is an integer number (30532215).

Almost surely, 2412148948 is an apocalyptic number.

It is an amenable number.

412148948 is a deficient number, since it is larger than the sum of its proper divisors (320624212).

412148948 is a wasteful number, since it uses less digits than its factorization.

412148948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3227 (or 3225 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 412148948 is about 20301.4518692629. The cubic root of 412148948 is about 744.1915455674.

The spelling of 412148948 in words is "four hundred twelve million, one hundred forty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 73 146 292 541 1082 2164 2609 5218 10436 39493 78986 157972 190457 380914 761828 1411469 2822938 5645876 103037237 206074474 412148948